Two friends want to buy a snack. They combine their money and find they have $3.75, consisting of quarters, dimes, and nickels. If they have 35 coins and the number of quarters is half the number of nickels, how many quarters do they have?  Choose one: A) 4 B) 5 C) 6 D) 7 E) 8
Let x be the number of quarters. Then 2x is the number of nickels.   (1) 25x + 10x + 10D = 375. Then 7x + 2D = 75   (2) 3x + D = 35. Then 6x + 2D = 70   Let's subtract equation (2) from equation (1).   x = 5   The answer is 5.
<result>B</result>
Two friends want to buy a snack. They combine their money and find they have $3.75, consisting of quarters, dimes, and nickels. If they have 35 coins and the number of quarters is half the number of nickels, how many quarters do they have?