Question

Liz has a recipe that uses 1 1/3 cups of sugar and 2 1/4 cups of flour to make 18 muffins. She has a total of 9 cups of flour. Liz wants to use all of her flour to make as many muffins as possible using this recipe. Question A: exactly how many cups of sugar will liz use if she uses all 9 cups of flour? Question B : exactly how many muffins will Liz make if she is all 9 cups of flour?

Answer 1

Answer:

A) $\frac{16}{3}$ cups of sugar

B) 72 muffins

Step-by-step explanation:

To solve question you can set up a proportion

$\frac{1\frac{1}{3} }{2 \frac{1}{4}} =\frac{x}{9}$

and you solve for x by cross-multiplying

1  1/3(9)=2  1/4(x)

12= 2 1/4 (x)

12÷ 2 1/4=x

x=$\frac{16}{3}$

So the answer to question A is $\frac{16}{3}$ cups of sugar.

To solve for question B

you can set up another proportion such as

$\frac{2\frac{1}{4} }{18} = \frac{9}{x}$

and solve for x by cross-multiplying, so it will look like:

2  1/4(x)=18(9)

2  1/4(x)= 162

x= 162÷ 2 1/4

x=72

so she will make exactly 72 muffins