Answer:
[tex]2 + (3\frac{1}{4})x = \frac{1}{2} + (5\frac{1}{2} )y[/tex]
Step-by-step explanation:
Full 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. Write an equation to represent the situation.
Explanation:
In this question, we don't know how many quarts are there in each jar of Liam and Evan. So, we will assume Liam's jar has [tex]x[/tex] quarts and Evan's jar has [tex]y[/tex] quarts.
Now, total quarts of Liam will be
[tex]2(yellow-paint) + (3\frac{1}{4} )x(blue-paint)[/tex]
And, total quarts of Evan will be
[tex]\frac{1}{2} (yellow-paint) + (5\frac{1}{2} )y(blue-paint)[/tex]
We know that the final volume of both paints is equal. So, we get
[tex]2 + (3\frac{1}{4})x = \frac{1}{2} + (5\frac{1}{2} )y[/tex]
