Question

Liam and Evan are mixing paint. Liam uses 2 quarts of yellow paint and adds 3 1/4 jars of blue paint. Evan uses 1/2 quart of yellow paint and adds 5 1/2 jars of red paint. They end up with the same volume of paint.

Part B
What volume of paint did each boy mix?
A. -2/3 quart
B. 2/3 quart
C. 1 1/2 quarts
D. 4 1/6 quarts

Answer 1

The problem states they end up with the same volume, the answer must be C. 1 1/2 quarts. Both Liam and Evan mixed 1 1/2 quarts of paint.

Therefore, options A, B, and D are incorrect.

Let's analyze the paint used by Liam and Evan:

Liam:

Yellow paint: 2 quarts

Blue paint: 3 + 1/4 jars = 13/4 jars

Evan:

Yellow paint: 1/2 quart

Red paint: 5 + 1/2 jars = 11/2 jars

To find the volume of paint each mixed, we need to convert jars to quarts (assuming jars and quarts are equivalent units):

Liam's total paint: 2 quarts + 13/4 quarts = 11/2 quarts

Evan's total paint: 1/2 quart + 11/2 quarts = 6 quarts

Since the problem states they end up with the same volume, the answer must be C. 1 1/2 quarts. Both Liam and Evan mixed 1 1/2 quarts of paint.

Therefore, options A, B, and D are incorrect.