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Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half gallon of water to make each pitcher of juice. One of Ms. Albero’s students said she will mix 8 scoops with 2 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct?

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Step-by-step explanation:

2scoop: .5 gal= ONE PITCHER

1scoop: .25gal= HALF PITCHER

×8

8scoop: SHOULD BE 2gal= 4 PITCHERS

Answer: The student is correct.

Step-by-step explanation:

Consider the provided information.

The directions said to mix 2 scoops of powdered drink mix with a half gallon of water to make each pitcher of juice.

This can be written as:

2 scoops = 1/2 gallons of water

Multiply both side by 2

2×2 scoops = 2×1/2 gallons of water

4 scoops = 1 gallons of water

That means Ms. Albero wants 4 scoops for each gallons of water.

Albero’s students said she will mix 8 scoops with 2 gallons of water to make 4 pitchers.

This can be written as:

8 scoops = 2 gallons of water

Divide both side by 2.

8/2 scoops = 2/2 gallons of water

4 scoops = 1 gallons of water

That means Albero’s students used 4 scoops for each gallons of water, which is the same quantity of scoops per gallons as suggested by the Ms. Albero.

So the student is correct.

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