Question

Ethan makes punch by mixing orange juice with

sparkling water. He uses the same ratio of orange juice
to sparkling water each time he makes punch. The table
shows some of the amounts of orange juice and
sparkling water he uses for different amounts of punch.
Orange Juice (fl oz) 7 21 28 ?
Sparkling Water (fl oz) 4 12 16 28

If Ethan uses 28 fl oz of sparkling water, how much orange juice will he use and what will be the total amount of punch?

Use the number pad to enter your answers in the boxes.

Ethan will use ____
fl oz of orange juice, and he will have a total of ___
fl oz of punch.

Answer 1

Ethan will use 49

fl oz of orange juice, and he will have a total of 77

fl oz of punch.

Explanation:

He uses a ratio of 7 to 4 of orange juice to sparkling water.

7/4 = ?/28

4 * ? = 7 * 28

Divide both sides by 4.

? = 7 * 7

? = 49

He will use 49 fl oz of orange juice.

The total amount made is: 49 fl oz + 28 fl oz = 77 fl oz

Answer:

Ethan will use 49

fl oz of orange juice, and he will have a total of 77

fl oz of punch.

Answer 2

Ethan will use 49 fl oz of orange juice when he uses 28 fl oz of sparkling water.

Ethan will have a total of 77 fl oz of punch.

Based on the given table, Ethan uses a ratio of 7 fl oz of orange juice to 4 fl oz of sparkling water. This means that for every 7 fl oz of orange juice, he uses 4 fl oz of sparkling water.

If Ethan uses 28 fl oz of sparkling water, we can determine the amount of orange juice he will use by setting up a proportion:

7/4 = x/28

Solving for x, we get:

x = (7/4) * 28

x = 49 fl oz

Therefore, Ethan will use 49 fl oz of orange juice when he uses 28 fl oz of sparkling water.

The total amount of punch can be calculated by adding the amount of orange juice and sparkling water:

Total punch = Orange juice + Sparkling water

Total punch = 49 fl oz + 28 fl oz

Total punch = 77 fl oz

Therefore, Ethan will have a total of 77 fl oz of punch.