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Andrew wants to know how many 3/16 pound servings are in a bag containing 7/8 pound of granola.

Part A. Write an expression to represent this situation.

Part B. Find the value of the expression you wrote in Part A to determine the number of servings of granola in the bag.

Explain your work

Verified Answer :

cebw12

PART A:
x = how many 3/16 pound servings are in the bag.
3/16x = 7/8
PART B:
You need to turn these fractions into decimals:
3/16 = 0.1875
7/8 = 0.875
Rewrite the equation:
0.1875x = 0.875
Solve algebraically. Divide both sides by 0.1875.
0.875/0.1875 = 4.67
x = 4.67.
There are 4.67 3/16 pound servings in a bag containing 7/8 pounds of granola.

Answer :

PART A.

Let quantity of servings of granola in the bag = x pounds

\(\text{Part of the servings of granola in the bag = }\frac{3}{16}\\\\\text{Total quantity of servings of granola to be contained in the bag = }\frac{3}{16}\cdot x\\\\\text{Quantity of granola in the bag to be contained = }\frac{7}{8}\)

Now, Total quantity of servings of granola to be contained in the bag = Quantity of granola in the bag to be contained

\(\implies \frac{3}{16}\cdot x=\frac{7}{8}\)

PART B. Finding the value of the above expression :

\(\frac{3}{16}\cdot x=\frac{7}{8}\\\\\implies 3x\times 8=16\times 7\\\\\implies 3x=\frac{112}{8}\\\\\implies 3x=14\\\\\implies x=\frac{14}{3}\)

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