Question

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 proportual relationship to decide whether the student is correct?

Answer 1

The student is correct.

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.

Hence, the student is correct.

Answer 2

2 scoops of powered drink mix = 1/2 gallon of water.
4 scoops of powered drink mix = 1 gallon of water
6 scoops of powered drink mix = 1 1/2 gallon of water

8 scoops of powered drink mix = 2 gallons of water
For every 2 scoops you add, you also add a 1/2 gallon of water to it.