Final answer:
The equation that represents Liam and Evan mixing the same volume of paint with different proportions is option B: 2 + 3 1/4 x = 1/2 + 5 1/2 x. This equation equates the total volume of paint each person has when using jars of colored paint and quarts of yellow paint. Therefore correct option is B
Step-by-step explanation:
Liam and Evan are mixing paint, and they end up with the same volume of paint despite using different amounts of yellow and another color of paint. To express this situation as an equation, we have to equate the total volumes of paint that each of them has.
Considering that 'x' is a representation of the jar unit, Liam uses 2 quarts of yellow paint and 3 1/4 jars of blue paint, while Evan uses 1/2 quart of yellow paint and adds 5 1/2 jars of red paint.
Each quart of yellow paint is treated as equivalent to a jar. Therefore, we have the following equation representing the situation:
B. 2 + 3 1/4 x = 1/2 + 5 1/2 x
This equation shows that the sum of the quarts and jars used by Liam is equal to the sum of the quarts and jars used by Evan, hence both obtaining the same volume of paint.