Q: Anna has 3 times as many toys as Mandy and 2 fewer toys than Amanda. If they have 142 toys all together, how many toys does Mandy have?
A: Let x be the number of toys Mandy has. Anna has 3 * x toys. Amanda has 3 * x + 2 toys. x + 3 * x + 3 * x + 2 = 142. 7 * x + 2 = 142. 7 * x = 140. x = 20. The answer is 20.
Question: Grandma Molly created statues of turtles for her front lawn. The first year, she created 4 statues and placed them on her lawn. The second year, she quadrupled the number of statues on her front lawn. In the third year, she added another 12 statues to the front lawn, but a hail storm broke 3 of the statues, which she threw away. In the fourth year, she added twice as many new statues as had been broken the year before. At the end of the four years, how many turtle statues were on her front lawn?
Answer: The second year, she quadrupled the number of statues in her front lawn, adding to the original 4 and bringing the total number to 4 * 4 = 16 statues. In the third year, she added another 12 statues, bringing the total number to 16 + 12 = 28 statues. But a hail storm broke 3, reducing the number to 28 - 3 = 25 statues. In the fourth year, she added twice as many new statues as had been broken the year before, adding 2 * 3 = 6 statues. Thus, the addition of these 6 statues brought the total number of statues to 25 + 6 = 31 statues. The answer is 31.
[Question]Viggo's age was 10 years more than twice his younger brother's age when his brother was 2. If his younger brother is currently 10 years old, what's the sum of theirs ages?
[Answer]Twice Viggo's younger brother's age when his brother was 2 is 2 * 2 = 4 years. If Viggo's age was 10 more than twice his younger brother's age when his brother was 2, Viggo was 10 + 4 = 14 years old. Viggo is 14 years - 2 years = 12 years older than his brother. Since Viggo's brother is currently 10 and Vigo is 12 years older, he's currently 10 + 12 = 22 years old. Their combined age is 22 years + 10 years = 32 years. The answer is 32.
Q: Jamie is a firefighter. One day an emergency call comes in from Mrs. Thompson, an elderly woman whose cat can't get down a 20-foot tree. The last time Jamie rescued a cat, he got it down from a 6-foot tree and had to climb 12 rungs of his ladder. How many rungs does he have to climb this time to get the cat down from the tree?
A: Jamie needed 12 / 6 = 2 rungs per foot of the tree to save the first cat. To climb a 20 - foot tree, Jamie needs 20 * 2 = 40 rungs. The answer is 40.
Question: Teagan saved 200 pennies in her piggy bank. Rex has a mason jar filled with 100 nickels. Toni has 330 dimes stashed inside a giant mug. How much money did the three kids save altogether?
Answer: Teagan saved 1 cent (.01) x 200 = $2. Rex has 5 cents (.05) x 100 = $5. Toni has 10 cents (.10) x 330 = $33. Together, the three kids saved $2 + $5 + $33 = $40. The answer is 40.
Q: In a car racing competition, Skye drove a 6-kilometer track. For the first 3 kilometers, his speed was 150 kilometers per hour. For the next 2 kilometers, his speed was 50 kilometers per hour more. For the remaining 1 kilometer, his speed was twice as fast as his speed on the first 3 kilometers. What is Skye's average speed for the entire race?
A:
Since time is obtained by dividing distance and speed, then Skye took 3 km / 150 km per hr. = 1 / 50 of an hour to finish the first 3 kilometers of the race. His speed on the next 2 kilometers was 150 + 50 = 200 kilometers per hour. Hence, it took him 2 km / 200 km per hr. = 1 / 100 of an hour to finish the next 2 kilometers. His speed on the remaining 1 kilometer is 150 x 2 = 300 kilometers per hour. Hence, it took him 1 / 300 of an hour to finish the 1 kilometer. So, the total time it took for Skye to complete the race was 1 / 50 + 1 / 100 + 1 / 300 = 1 / 30 of an hour. Therefore, his average speed for the entire race was 6 km / 1 / 30 hour = 180 kilometers per hour. The answer is 180.
Q: Anna has 3 times as many toys as Mandy and 2 fewer toys than Amanda. If they have 142 toys all together, how many toys does Mandy have?
A: Let x be the number of toys Mandy has. Anna has 3 * x toys. Amanda has 3 * x + 2 toys. x + 3 * x + 3 * x + 2 = 142. 7 * x + 2 = 142. 7 * x = 140. x = 20. The answer is 20.
Question: Grandma Molly created statues of turtles for her front lawn. The first year, she created 4 statues and placed them on her lawn. The second year, she quadrupled the number of statues on her front lawn. In the third year, she added another 12 statues to the front lawn, but a hail storm broke 3 of the statues, which she threw away. In the fourth year, she added twice as many new statues as had been broken the year before. At the end of the four years, how many turtle statues were on her front lawn?
Answer: The second year, she quadrupled the number of statues in her front lawn, adding to the original 4 and bringing the total number to 4 * 4 = 16 statues. In the third year, she added another 12 statues, bringing the total number to 16 + 12 = 28 statues. But a hail storm broke 3, reducing the number to 28 - 3 = 25 statues. In the fourth year, she added twice as many new statues as had been broken the year before, adding 2 * 3 = 6 statues. Thus, the addition of these 6 statues brought the total number of statues to 25 + 6 = 31 statues. The answer is 31.
[Question]Viggo's age was 10 years more than twice his younger brother's age when his brother was 2. If his younger brother is currently 10 years old, what's the sum of theirs ages?
[Answer]Twice Viggo's younger brother's age when his brother was 2 is 2 * 2 = 4 years. If Viggo's age was 10 more than twice his younger brother's age when his brother was 2, Viggo was 10 + 4 = 14 years old. Viggo is 14 years - 2 years = 12 years older than his brother. Since Viggo's brother is currently 10 and Vigo is 12 years older, he's currently 10 + 12 = 22 years old. Their combined age is 22 years + 10 years = 32 years. The answer is 32.
Q: Jamie is a firefighter. One day an emergency call comes in from Mrs. Thompson, an elderly woman whose cat can't get down a 20-foot tree. The last time Jamie rescued a cat, he got it down from a 6-foot tree and had to climb 12 rungs of his ladder. How many rungs does he have to climb this time to get the cat down from the tree?
A: Jamie needed 12 / 6 = 2 rungs per foot of the tree to save the first cat. To climb a 20 - foot tree, Jamie needs 20 * 2 = 40 rungs. The answer is 40.
Question: Teagan saved 200 pennies in her piggy bank. Rex has a mason jar filled with 100 nickels. Toni has 330 dimes stashed inside a giant mug. How much money did the three kids save altogether?
Answer: Teagan saved 1 cent (.01) x 200 = $2. Rex has 5 cents (.05) x 100 = $5. Toni has 10 cents (.10) x 330 = $33. Together, the three kids saved $2 + $5 + $33 = $40. The answer is 40.
Q: In a car racing competition, Skye drove a 6-kilometer track. For the first 3 kilometers, his speed was 150 kilometers per hour. For the next 2 kilometers, his speed was 50 kilometers per hour more. For the remaining 1 kilometer, his speed was twice as fast as his speed on the first 3 kilometers. What is Skye's average speed for the entire race?
A:
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Since time is obtained by dividing distance and speed, then Skye took 3 km / 150 km per hr. = 1 / 50 of an hour to finish the first 3 kilometers of the race. His speed on the next 2 kilometers was 150 + 50 = 200 kilometers per hour. Hence, it took him 2 km / 200 km per hr. = 1 / 100 of an hour to finish the next 2 kilometers. His speed on the remaining 1 kilometer is 150 x 2 = 300 kilometers per hour. Hence, it took him 1 / 300 of an hour to finish the 1 kilometer. So, the total time it took for Skye to complete the race was 1 / 50 + 1 / 100 + 1 / 300 = 1 / 30 of an hour. Therefore, his average speed for the entire race was 6 km / 1 / 30 hour = 180 kilometers per hour. The answer is 180.
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Q: Anna has 3 times as many toys as Mandy and 2 fewer toys than Amanda. If they have 142 toys all together, how many toys does Mandy have?
A: Let x be the number of toys Mandy has. Anna has 3 * x toys. Amanda has 3 * x + 2 toys. x + 3 * x + 3 * x + 2 = 142. 7 * x + 2 = 142. 7 * x = 140. x = 20. The answer is 20.
Question: Grandma Molly created statues of turtles for her front lawn. The first year, she created 4 statues and placed them on her lawn. The second year, she quadrupled the number of statues on her front lawn. In the third year, she added another 12 statues to the front lawn, but a hail storm broke 3 of the statues, which she threw away. In the fourth year, she added twice as many new statues as had been broken the year before. At the end of the four years, how many turtle statues were on her front lawn?
Answer: The second year, she quadrupled the number of statues in her front lawn, adding to the original 4 and bringing the total number to 4 * 4 = 16 statues. In the third year, she added another 12 statues, bringing the total number to 16 + 12 = 28 statues. But a hail storm broke 3, reducing the number to 28 - 3 = 25 statues. In the fourth year, she added twice as many new statues as had been broken the year before, adding 2 * 3 = 6 statues. Thus, the addition of these 6 statues brought the total number of statues to 25 + 6 = 31 statues. The answer is 31.
[Question]Viggo's age was 10 years more than twice his younger brother's age when his brother was 2. If his younger brother is currently 10 years old, what's the sum of theirs ages?
[Answer]Twice Viggo's younger brother's age when his brother was 2 is 2 * 2 = 4 years. If Viggo's age was 10 more than twice his younger brother's age when his brother was 2, Viggo was 10 + 4 = 14 years old. Viggo is 14 years - 2 years = 12 years older than his brother. Since Viggo's brother is currently 10 and Vigo is 12 years older, he's currently 10 + 12 = 22 years old. Their combined age is 22 years + 10 years = 32 years. The answer is 32.
Q: Jamie is a firefighter. One day an emergency call comes in from Mrs. Thompson, an elderly woman whose cat can't get down a 20-foot tree. The last time Jamie rescued a cat, he got it down from a 6-foot tree and had to climb 12 rungs of his ladder. How many rungs does he have to climb this time to get the cat down from the tree?
A: Jamie needed 12 / 6 = 2 rungs per foot of the tree to save the first cat. To climb a 20 - foot tree, Jamie needs 20 * 2 = 40 rungs. The answer is 40.
Question: Teagan saved 200 pennies in her piggy bank. Rex has a mason jar filled with 100 nickels. Toni has 330 dimes stashed inside a giant mug. How much money did the three kids save altogether?
Answer: Teagan saved 1 cent (.01) x 200 = $2. Rex has 5 cents (.05) x 100 = $5. Toni has 10 cents (.10) x 330 = $33. Together, the three kids saved $2 + $5 + $33 = $40. The answer is 40.
Q: In a car racing competition, Skye drove a 6-kilometer track. For the first 3 kilometers, his speed was 150 kilometers per hour. For the next 2 kilometers, his speed was 50 kilometers per hour more. For the remaining 1 kilometer, his speed was twice as fast as his speed on the first 3 kilometers. What is Skye's average speed for the entire race?
A:
Since time is obtained by dividing distance and speed, then Skye took 3 km / 150 km per hr. = 1 / 50 of an hour to finish the first 3 kilometers of the race. His speed on the next 2 kilometers was 150 + 50 = 200 kilometers per hour. Hence, it took him 2 km / 200 km per hr. = 1 / 100 of an hour to finish the next 2 kilometers. His speed on the remaining 1 kilometer is 150 x 2 = 300 kilometers per hour. Hence, it took him 1 / 300 of an hour to finish the 1 kilometer. So, the total time it took for Skye to complete the race was 1 / 50 + 1 / 100 + 1 / 300 = 1 / 30 of an hour. Therefore, his average speed for the entire race was 6 km / 1 / 30 hour = 180 kilometers per hour. The answer is 180.