Question: Rick has just celebrated his 15th birthday. His oldest brother is twice his age, and his middle brother is a third of the oldest brother’s age. The smallest brother is half the middle brother’s age. If the youngest brother is 2 years younger than the smallest brother, how old, in years, is the youngest brother?
Answer: Step-by-step reasoning process: Rick’s oldest brother is 15 years * 2 = 30 years old. This means the middle brother is 30 years / 3 = 10 years old. The smallest brother is therefore 10 years / 2 = 5 years old. So the youngest brother is 5 years – 2 years = 3 years old.
So the answer is 3.

Question: Max can trade 3 coconuts for a crab and 6 crabs for a goat. If he has 342 coconuts and he wants to convert all of them into goats, how many goats will he have?
Answer: Step-by-step reasoning process: First find the number of crabs Max can get by dividing the number of coconuts by the exchange rate with crabs: 342 coconuts / 3 coconuts / crab = 114 crabs. Then divide the number of crabs by the exchange rate with goats: 114 crabs / 6 crabs / goat = 19 goats.
So the answer is 19.

Question: Casey is pumping water out of her well. She can pump 3 gallons a minute. She has 4 rows of 15 corn plants each, and each plant needs half a gallon of water. She also has 10 pigs, which each need 4 gallons of water, and 20 ducks that each need a quarter of a gallon of water. How many minutes does Casey need to spend pumping water?
Answer: Step-by-step reasoning process: First find how many corn plants there are: 15 plants / row * 4 rows = 60 plants. Then find how many gallons of water of the corn needs: 60 plants * 1 / 2 gallon / plant = 30 gallons. Then find how many gallons of water the pigs need: 10 pigs * 4 gallons / pig = 40 gallons. Then find how many gallons of water the ducks need: 20 ducks * 1 / 4 gallon / duck = 5 gallons. Now add up all three quantities of water to find the total water needed: 5 gallons + 40 gallons + 30 gallons = 75 gallons. Now divide the total water needed by Casey's pumping rate to find how long she spends pumping: 75 gallons / 3 gallons / minute = 25 minutes.
So the answer is 25.

Question: Brittany uses 1/4 ounce of shampoo to wash her hair every other day. She buys shampoo in 14-ounce bottles. How many bottles does she need to get her through a leap year?
Answer:
Step-by-step reasoning process: A leap year is one day shorter than a regular year, so it is 365 – 1 = 364 days. Brittany washes her hair every other day, so she will wash it 364 / 2 = 182 times in a leap year. A bottle of shampoo lasts her 14 / 1 / 4 = 14 * 4 = 56 washes. If she buys 3 bottles, she will only have enough for 56 * 3 = 168 washes. If she buys 4 bottles, she will have enough for 56 * 4 = 224 washes. Since 168 < 182 and 224 > 182, Brittany needs 4 bottles of shampoo to get her through a leap year.
So the answer is 4.
Question: Rick has just celebrated his 15th birthday. His oldest brother is twice his age, and his middle brother is a third of the oldest brother’s age. The smallest brother is half the middle brother’s age. If the youngest brother is 2 years younger than the smallest brother, how old, in years, is the youngest brother?
Answer: Step-by-step reasoning process: Rick’s oldest brother is 15 years * 2 = 30 years old. This means the middle brother is 30 years / 3 = 10 years old. The smallest brother is therefore 10 years / 2 = 5 years old. So the youngest brother is 5 years – 2 years = 3 years old.
So the answer is 3.

Question: Max can trade 3 coconuts for a crab and 6 crabs for a goat. If he has 342 coconuts and he wants to convert all of them into goats, how many goats will he have?
Answer: Step-by-step reasoning process: First find the number of crabs Max can get by dividing the number of coconuts by the exchange rate with crabs: 342 coconuts / 3 coconuts / crab = 114 crabs. Then divide the number of crabs by the exchange rate with goats: 114 crabs / 6 crabs / goat = 19 goats.
So the answer is 19.

Question: Casey is pumping water out of her well. She can pump 3 gallons a minute. She has 4 rows of 15 corn plants each, and each plant needs half a gallon of water. She also has 10 pigs, which each need 4 gallons of water, and 20 ducks that each need a quarter of a gallon of water. How many minutes does Casey need to spend pumping water?
Answer: Step-by-step reasoning process: First find how many corn plants there are: 15 plants / row * 4 rows = 60 plants. Then find how many gallons of water of the corn needs: 60 plants * 1 / 2 gallon / plant = 30 gallons. Then find how many gallons of water the pigs need: 10 pigs * 4 gallons / pig = 40 gallons. Then find how many gallons of water the ducks need: 20 ducks * 1 / 4 gallon / duck = 5 gallons. Now add up all three quantities of water to find the total water needed: 5 gallons + 40 gallons + 30 gallons = 75 gallons. Now divide the total water needed by Casey's pumping rate to find how long she spends pumping: 75 gallons / 3 gallons / minute = 25 minutes.
So the answer is 25.

Question: Brittany uses 1/4 ounce of shampoo to wash her hair every other day. She buys shampoo in 14-ounce bottles. How many bottles does she need to get her through a leap year?
Answer:
user
Step-by-step reasoning process: A leap year is one day shorter than a regular year, so it is 365 – 1 = 364 days. Brittany washes her hair every other day, so she will wash it 364 / 2 = 182 times in a leap year. A bottle of shampoo lasts her 14 / 1 / 4 = 14 * 4 = 56 washes. If she buys 3 bottles, she will only have enough for 56 * 3 = 168 washes. If she buys 4 bottles, she will have enough for 56 * 4 = 224 washes. Since 168 < 182 and 224 > 182, Brittany needs 4 bottles of shampoo to get her through a leap year.
So the answer is 4.
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Question: Rick has just celebrated his 15th birthday. His oldest brother is twice his age, and his middle brother is a third of the oldest brother’s age. The smallest brother is half the middle brother’s age. If the youngest brother is 2 years younger than the smallest brother, how old, in years, is the youngest brother?
Answer: Step-by-step reasoning process: Rick’s oldest brother is 15 years * 2 = 30 years old. This means the middle brother is 30 years / 3 = 10 years old. The smallest brother is therefore 10 years / 2 = 5 years old. So the youngest brother is 5 years – 2 years = 3 years old.
So the answer is 3.

Question: Max can trade 3 coconuts for a crab and 6 crabs for a goat. If he has 342 coconuts and he wants to convert all of them into goats, how many goats will he have?
Answer: Step-by-step reasoning process: First find the number of crabs Max can get by dividing the number of coconuts by the exchange rate with crabs: 342 coconuts / 3 coconuts / crab = 114 crabs. Then divide the number of crabs by the exchange rate with goats: 114 crabs / 6 crabs / goat = 19 goats.
So the answer is 19.

Question: Casey is pumping water out of her well. She can pump 3 gallons a minute. She has 4 rows of 15 corn plants each, and each plant needs half a gallon of water. She also has 10 pigs, which each need 4 gallons of water, and 20 ducks that each need a quarter of a gallon of water. How many minutes does Casey need to spend pumping water?
Answer: Step-by-step reasoning process: First find how many corn plants there are: 15 plants / row * 4 rows = 60 plants. Then find how many gallons of water of the corn needs: 60 plants * 1 / 2 gallon / plant = 30 gallons. Then find how many gallons of water the pigs need: 10 pigs * 4 gallons / pig = 40 gallons. Then find how many gallons of water the ducks need: 20 ducks * 1 / 4 gallon / duck = 5 gallons. Now add up all three quantities of water to find the total water needed: 5 gallons + 40 gallons + 30 gallons = 75 gallons. Now divide the total water needed by Casey's pumping rate to find how long she spends pumping: 75 gallons / 3 gallons / minute = 25 minutes.
So the answer is 25.

Question: Brittany uses 1/4 ounce of shampoo to wash her hair every other day. She buys shampoo in 14-ounce bottles. How many bottles does she need to get her through a leap year?
Answer:
Step-by-step reasoning process: A leap year is one day shorter than a regular year, so it is 365 – 1 = 364 days. Brittany washes her hair every other day, so she will wash it 364 / 2 = 182 times in a leap year. A bottle of shampoo lasts her 14 / 1 / 4 = 14 * 4 = 56 washes. If she buys 3 bottles, she will only have enough for 56 * 3 = 168 washes. If she buys 4 bottles, she will have enough for 56 * 4 = 224 washes. Since 168 < 182 and 224 > 182, Brittany needs 4 bottles of shampoo to get her through a leap year.
So the answer is 4.