Question

Beau's recipe for granola bars calls for 3 1/2 cups of oatmeal. He only has a 1/6 cup scoop. How many scoops of oatmeal will he need to complete the recipe?

Answer 1

There will be $\boxed{\bf 21}$ scoops of oatmeal to complete the recipe.

Further explanation:

Given that Beau’s recipe of granola bars contains $3\frac{1}{2}$ cups of oatmeal.

Beau’s has only $\frac{1}{6}$ cup scoop.

Our aim is to find the number of scoops of oatmeal Beau’s needed to complete the recipe for granola bars.

Total cups of oatmeal are $3\frac{1}{2}$.

First we have to convert the total cups of oat meal to proper fraction.

$\begin{aligned}\text{Cups of oatmeal for the recipe}&=\dfrac{(3\cdot 2)+1}{2}\\&=\dfrac{6+1}{2}\\&=\dfrac{7}{2}\end{aligned}$  

There is only $\frac{1}{6}$ cup scoop.  

Since there are $\frac{7}{2}$ cups of oatmeal and $\frac{1}{6}$ cup scoop, therefore, number of scoops required to complete the meal are calculated as follows:

$\begin{aligned}\text{Number of scoops required}&=\dfrac{\frac{7}{2}}{\frac{1}{6}}\\&=\dfrac{7}{2}\cdot 6\\&=7\cdot 3\\&=21\end{aligned}$  

The total number of scoops is obtained in whole number; therefore, this is our final answer.

Therefore, $\boxed{\bf 21}$ scoops of oatmeal are needed by Beau’s to complete the recipe of granola bars.

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: Beau’s, recipe, granola, bars, cups, oatmeal, scoop, 3 1/2 ,1/6 cup scoop, complete, cups of oatmeal, fractions, whole number.

Answer 2

$\boxed{21}$ number of scoops of oatmeal will he need to complete the recipe.

Further explanation:

Given:

Beau's recipe from granola bars calls for $3\dfrac{1}{2}$ cups of oatmeal.

He only is $\dfrac{1}{6}\:{\text{scoop}$

Explanation:

The number of cups of oatmeal that are called for the recipe are $3\dfrac{1}{2}.$

Solve the improper fraction $3\dfrac{1}{2}$ to obtain the proper fraction.

$\begin{aligned}{\text{Fraction}}&= \frac{{2 \times 3 + 1}}{2}\\&=\frac{{6 + 1}}{2}\\&= \frac{7}{2}\\\end{aligned}$

The Beau has $\dfrac{1}{6}{\text{ scoop}}.$

The number of scoops that are required to complete the recipe can be obtained as follows,

$\begin{aligned}N&=\dfrac{{{\text{total cups of oatmeal}}}}{{{\text{the fraction of scoop Beau has}}}}\\&=\dfrac{{\dfrac{7}{2}}}{{\dfrac{1}{6}}}\\&= \frac{7}{2} \times 6\\&=\dfrac{{42}}{2}\\&= 21\\\end{aligned}$

The number of scoops required to complete the oatmeal is $21{\text{ scoops}}.$

Therefore, $\boxed{21}$ 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.