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) + one half (x − 8) = 38 What was the difference in the amounts of water and rubbing alcohol Martina combined?

Answer 1

Answer:

The difference in the amounts of water and rubbing alcohol Martina combined is 14 ml.

Step-by-step explanation:

Here, the given equation,

$x+(x-8)+\frac{x-8}{2}=38---(1)$

Where, 38 is the total amount of the solution,

x is the amount of water in the solution, ( in ml )

(x-8) is the amount of vinegar,

$\frac{x-8}{2}$ is the amount of rubbing alcohol,

From equation (1),

$\frac{2x+2(x-8)+x-8}{2}=38$

$\frac{5x-24}{2}=38$

$5x-24=76$

$5x=100$

$\implies x = 20$

So, the difference in the amounts of water and rubbing alcohol Martina combined = $x-\frac{x-8}{2}$

$=20-\frac{20-8}{2}$

$=20-\frac{12}{2}$

$=20-6$

$=14\text{ ml}$

Answer 2

That in the first one is 30 and in the 2d one is 8 minus (less) than the first one