Question

A recipe requires 2 cups of flour for every 2/3 cups of sugar. at this rate how many cups of sugar should be used if 5 cups of flour is included.

a. 0.86
b. 3 and 1/3
c. 1352
d. 4 and 3/8
e. 1 and 2/3
f. 1/2
g. 0.15"

Answer 1

The correct amount of sugar needed for 5 cups of flour based on the given recipe ratio is 3.75 cups. Since this answer is not listed among the options, the question or options may need to be reviewed for accuracy or rounding instructions.

Step-by-step explanation:

To find out how many cups of sugar are needed for 5 cups of flour based on the recipe's ratio, we set up the proportion. The recipe calls for 2 cups of flour to every 2/3 cups of sugar. We then use a simple cross-multiplication to solve for the unknown quantity of sugar when 5 cups of flour are used.

Our proportion looks like this: 2 cups flour / (2/3) cups sugar = 5 cups flour / x cups sugar.

Now we cross-multiply and get: (2/3)x = 10. After solving for x, we find that x = 10 / (2/3), which simplifies to x = 15/2, which is 7.5/2 = 3.75 cups of sugar. However, none of the given options exactly match this number, so it's important to review the options and possibly the question itself for accuracy or any rounding instructions.