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?
Accepted Solution
A:
Answer: [tex]5 \frac{5}{8}[/tex] cupsStep-by-step explanation:Given: A baker is using a cookie that calls for 2 [tex]\frac{1}{4}[/tex] 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 [tex]\frac{1}{4}[/tex] to improper fraction.[tex]2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}[/tex]Let "x" be the amount flour to make 90 cookiesAmount of Flour Number of cookies [tex]\frac{9}{4}[/tex] 36 x 90Now form a proportion.[tex]\frac{\frac{9}{4}}{x} = \frac{36}{90}[/tex]Now let's cross multiply, we get[tex]\frac{9}{4} *90 = 36x\\\[/tex][tex]\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}[/tex]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 getx = [tex]5 \frac{5}{8}[/tex] cupsSo the baker needs [tex]5 \frac{5}{8}[/tex] cups to make 90 cookies.