Martina combined different amounts of water, vinegar, and rubbing alcohol to make 38 milliliters (ml) of a solution for a science experiment. The amount of water was x ml. The amount of vinegar was 8 ml less than that of water, and the amount of rubbing alcohol was half the amount of vinegar. This is represented in the equation below.
x + (x – 8) + 1/2 (x – 8) = 38
What was the difference in the amounts of water and rubbing alcohol Martina combined?

Question

Martina combined different amounts of water, vinegar, and rubbing alcohol to make 38 milliliters (ml) of a solution for a science experiment. The amount of water was x ml. The amount of vinegar was 8 ml less than that of water, and the amount of rubbing alcohol was half the amount of vinegar. This is represented in the equation below.
x + (x – 8) + 1/2 (x – 8) = 38
What was the difference in the amounts of water and rubbing alcohol Martina combined?

bahrom7893 · Answer

Oh so all we gotta do is find x, then we can find x-8 and finally (1/2)(x-8)

bahrom7893 · Answer

x + x - 8 + x/2 - 4 = 38
2x + x/2 = 38 + 8 + 4
5x/2 = 50
5x = 100
x = 20

bahrom7893 · Answer

That's the amount of water: 20
The amount of rubbing alcohol: (1/2)(20-8) = (1/2)(12) = 6
Difference: 20-6 = 14