number of scoops of oatmeal will he need to complete the recipe.
Further explanation:
Given:
Beau's recipe from granola bars calls for
cups of oatmeal.
He only is
scoop.
Explanation:
The number of cups of oatmeal that are called for the recipe are ![3\dfrac{1}{2}.](https://tex.z-dn.net/?f=3%5Cdfrac%7B1%7D%7B2%7D.)
Solve the improper fraction
to obtain the proper fraction.
![\begin{aligned}{\text{Fraction}}&=\frac{{2 \times 3 + 1}}{2}\\&=\frac{{6 + 1}}{2}\\&= \frac{7}{2}\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7B%5Ctext%7BFraction%7D%7D%26%3D%5Cfrac%7B%7B2%20%5Ctimes%203%20%2B%201%7D%7D%7B2%7D%5C%5C%26%3D%5Cfrac%7B%7B6%20%2B%201%7D%7D%7B2%7D%5C%5C%26%3D%20%5Cfrac%7B7%7D%7B2%7D%5C%5C%5Cend%7Baligned%7D)
The Beau has ![\dfrac{1}{6}{\text{ scoop}}.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B6%7D%7B%5Ctext%7B%20scoop%7D%7D.)
The number of scoops that are required to complete the recipe can be obtained as follows,
![\begin{aligned}N&=\frac{{{\text{total cups of oatmeal}}}}{{{\text{the fraction of scoop Beau has}}}}\\&= \dfrac{{\dfrac{7}{2}}}{{\dfrac{1}{6}}}\\&=\dfrac{7}{2} \times 6\\&=\frac{{42}}{2}\\&= 21\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7DN%26%3D%5Cfrac%7B%7B%7B%5Ctext%7Btotal%20cups%20of%20oatmeal%7D%7D%7D%7D%7B%7B%7B%5Ctext%7Bthe%20fraction%20of%20scoop%20Beau%20has%7D%7D%7D%7D%5C%5C%26%3D%20%5Cdfrac%7B%7B%5Cdfrac%7B7%7D%7B2%7D%7D%7D%7B%7B%5Cdfrac%7B1%7D%7B6%7D%7D%7D%5C%5C%26%3D%5Cdfrac%7B7%7D%7B2%7D%20%5Ctimes%206%5C%5C%26%3D%5Cfrac%7B%7B42%7D%7D%7B2%7D%5C%5C%26%3D%2021%5C%5C%5Cend%7Baligned%7D)
The number of scoops required to complete the oatmeal is ![21{\text{ scoops}}.](https://tex.z-dn.net/?f=21%7B%5Ctext%7B%20scoops%7D%7D.)
Therefore,
number of scoops of oatmeal will he need to complete the recipe.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Fractions
Keywords: fraction, Beau’s recipe, granola bars, calls, 3 1/2 cups of oatmeal, scoops, recipe, ratio, 1/6 scoop, complete the recipe, recipe for granola bars.