Question

Kira is trying to drink more water and juice each day. The difference in the amount of water in a jug and the amount of juice in the bottle she is drinking from is 192 ounces. She has consumed a total of 42 ounces, which is mc020-1.jpg of the bottle of juice and mc020-2.jpg of the jug of water. Which system of equations can be used to determine the total number of ounces in the jug of water, x, and the total number of ounces in the bottle of juice, y?

Answer 1

The Complete Question is:
Kira is trying to drink more water and juice each day. The difference in the amount of water in a jug and the amount of juice in the bottle she is drinking from is 192 ounces. She has consumed a total of 42 ounces, which is 3/32 of the bottle of juice and 9/62 of the jug of water. Which system of equations can be used to determine the total number of ounces in the jug of water, x, and the total number of ounces in the bottle of juice, y?

Solution:

Total number of ounces in the jug of water = x
Total number of ounces in the bottle of juice = y

The difference in amount of water and the juice is 192 ounces. So we can write the equation as:

$x-y=192$

Kira consumed 42 ounces. This amount is 3/32 of the bottle of juice and 9/62 of the jug of water. So we can set up the equation as:

$\frac{9x}{62} + \frac{3y}{32}=42$

Using the above two equations we can determine the total number of ounces in the jug of water and the total number of ounces in the bottle of juice.