Iam and evan are mixing paint. liam uses 2 quarts of yellow paint and adds 314 jars of blue paint. evan uses 12 quart of yellow paint and adds 512 jars of red paint. they end up with the same volume of paint.

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 quarts and Evan's jar has quarts.

Now, total quarts of Liam will be

And, total quarts of Evan will be

We know that the final volume of both paints is equal. So, we get

25% is the answer

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4