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Mathematics

A cookie recipe calls for 3 cups of flour and 2 cups of sugar. While making the cookies, Francisco accidentally uses 4 cups of flour. How many cups of sugar are needed to maintain the same ratio of flour to sugar?

A.2(1/3) cups of sugar
B.2(2/3) cups of sugar
C.3 cups of sugar
D.6 cups of sugar

答案和解析

答案：B

解析：

Choice B is correct. The recipe calls for a 3:2 ratio of cups of flour to cups of sugar. Set up a proportion to determine how many cups of sugar, s, Francisco should use if he uses 4 cups of flour:

3/2=4/s

Solving this equation for s yields:

s=4/3*2=8/3=2(2/3) cups of flour

Francisco should use 2(2/3) cups of flour to maintain the same ratio of flour to sugar.