Respuesta :
Answer:
21 scoops
Step-by-step explanation:
We will divide the amount the recipe calls for, 3 1/2 cups, by the size of the scoop, 1/6 cup:
3 1/2 ÷ 1/6
Convert the mixed number to an improper fraction. Multiply the whole number by the denominator and add the numerator; 3(2)+1 = 6+1 = 7; this makes it 7/2:
7/2 ÷ 1/6
To divide fractions, flip the second one and multiply:
7/2 × 6/1
42/2 = 21
[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}[/tex] scoop.
Explanation:
The number of cups of oatmeal that are called for the recipe are [tex]3\dfrac{1}{2}.[/tex]
Solve the improper fraction [tex]3\dfrac{1}{2}[/tex] to obtain the proper fraction.
[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 that are 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}}}}\\&= \dfrac{{\dfrac{7}{2}}}{{\dfrac{1}{6}}}\\&=\dfrac{7}{2} \times 6\\&=\frac{{42}}{2}\\&= 21\\\end{aligned}[/tex]
The 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.
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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.
