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?
There will be [tex]\boxed{\bf 21}[/tex] scoops of oatmeal to complete the recipe.
Further explanation:
Given that Beau’s recipe of granola bars contains [tex]3\frac{1}{2}[/tex] cups of oatmeal.
Beau’s has only [tex]\frac{1}{6}[/tex] 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 [tex]3\frac{1}{2}[/tex].
First we have to convert the total cups of oat meal to proper fraction.
[tex]\begin{aligned}\text{Cups of oatmeal for the recipe}&=\dfrac{(3\cdot 2)+1}{2}\\&=\dfrac{6+1}{2}\\&=\dfrac{7}{2}\end{aligned}[/tex]
There is only [tex]\frac{1}{6}[/tex] cup scoop.
Since there are [tex]\frac{7}{2}[/tex] cups of oatmeal and [tex]\frac{1}{6}[/tex] cup scoop, therefore, number of scoops required to complete the meal are calculated as follows:
[tex]\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}[/tex]
The total number of scoops is obtained in whole number; therefore, this is our final answer.
Therefore, [tex]\boxed{\bf 21}[/tex] 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.
[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}\:{\text{scoop}[/tex]
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&=\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}[/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.
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What is the ratio?A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.
Now the given number of stones in Dana's collection are,
granite- 6 pieces
marble- 3 pieces
sandstone- 14 pieces
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Dana's collection contains a 14:3 ratio of sandstone to marble fragments. So option (c) is correct.
To find the ratio of pieces of sandstone to pieces of marble in Dean's collection, we need to compare the number of sandstone pieces to the number of marble pieces.
Step 1: Count the pieces of sandstone and marble.
Sandstone: 14 pieces
Marble: 3 pieces
Step 2: Write down the ratio in the form of sandstone : marble".
Sandstone : Marble
Step 3: Substitute the counts into the ratio.
Sandstone: Marble = 14:3
Thus, the ratio of pieces of sandstone to pieces of marble in Dean's collection is 14:3.
Complete Question:
Dean loves rocks! He has 6 pieces of granite, 3 pieces of marble, 14 pieces of sandstone, and 1 piece of slate. What is the ratio of pieces of sandstone to pieces of marble in Dean's collection?
Choose 1 answer:
14:6
3:24
14:3
24:3
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Answer:
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Step-by-step explanation:
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Final answer:
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Explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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ASA- "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.
SAS -"side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal.
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So, Option B is true
Hence False
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