Question

A baker is using a cookie that calls for 2 1/4 cups of flour to yield 36 cookies, how much flour will the baker neeto to make 90 cookies using the same recddipe?

Answer 1

Answer:

$5 \frac{5}{8}$ cups

Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 $\frac{1}{4}$ cups of flour to yield 36 cookies.

To find the number of flour will the baker need to make 90 cookies, we form a proportion.

Let's convert 2 $\frac{1}{4}$ to improper fraction.

$2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}$

Let "x" be the amount flour to make 90 cookies

Amount of Flour                 Number of cookies

 $\frac{9}{4}$                               36

       x                                            90

Now form a proportion.

$\frac{\frac{9}{4}}{x} = \frac{36}{90}$

Now let's cross multiply, we get

$\frac{9}{4} *90 = 36x$

$\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}$

Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

x = $5 \frac{5}{8}$ cups

So the baker needs $5 \frac{5}{8}$ cups to make 90 cookies.