beaus recipefor granola bars calls for 3 1/2 cups of oatmeal. he only have 1/6 cup scoop.how many scoops of oatmeal will he need for the recipe

Respuesta :

Answer:

The number of scoops of oatmeal  he will need for the recipe is:

                             21 scoops.

Step-by-step explanation:

It is given that:

Beaus recipe for granola bars calls for 3 1/2 cups of oatmeal.  

i.e. the cups of oatmeal required is:

[tex]3\dfrac{1}{2}\ cups=\dfrac{3\times 2+1}{2}\ cups[/tex]

i.e.

[tex]\dfrac{7}{2}\  \text{cups\ of\ oatmeal\ is\ required}[/tex]

Also, he has:

[tex]\dfrac{1}{6}\ \text{cup scoop}[/tex]

This means that:

[tex]\text{Number of scoops of oatmeal he need}=\dfrac{\text{Number of cups of oatmeal}}{\text{Number of cup scoop he has}}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=\dfrac{\dfrac{7}{2}}{\dfrac{1}{6}}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=\dfrac{7\times 6}{1\times 2}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=21\ \text{scoops}[/tex]

[tex]\boxed{21}[/tex] number of scoops of oatmeal will he need to complete the recipe.

Further explanation:

Given:

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

He only is [tex]\dfrac{1}{6} scoop.[/tex]

Explanation:

The cups of oatmeal called for the recipe is [tex]3\dfrac{1}{2}.[/tex]

Solve the improper fraction [tex]3\dfrac{1}{2}.[/tex]

[tex]\begin{aligned}{\text{Fraction}}&= \frac{{2 \times 3 + 1}}{2}\\&= \frac{{6 + 1}}{2}\\&= \frac{7}{2}\\\end{aligned}[/tex]

The Beau has [tex]\dfrac{1}{6}{\text{ scoop}}.[/tex]

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

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

Number of scoops required to complete the oatmeal is [tex]21{\text{ scoops}}.[/tex]

Therefore, [tex]\boxed{21}[/tex] number of scoops of oatmeal will he need to complete the recipe.

Learn more:

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2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

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.

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