# A recipe calls for 2 cups sugar to 3 cups flour. How many cups of sugar is needed for 9 cups of flour? a. 6 cups b.

Question

A recipe calls for 2 cups sugar to 3 cups flour. How many cups of sugar is needed for 9
cups of flour?
a.
6 cups
b. 4 cups
c. 5 cups
d 7 cups

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1 year 2021-09-03T09:55:15+00:00 2 Answers 8 views 0

1. Answer 6 cups hope it helps

a) 6 cups

Step-by-step explanation:

We can use a ratio for this:

sugar : flour

2 : 3

x : 9

2       3

—  =  —

x        9

Cross multiply:

2 (9) = 3x

18 = 3x

6 = x

x = 6

To double-check, you can plug the value back into the ratio and make them fractions, then simplify to see if it gets the original amount. Here’s what I’m talking about:

2 : 3

x : 9     ======>     6 : 9

$$\frac{6}{9} \frac{/3}{/3} = \frac{2}{3}$$