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

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

Answer 2

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

Explanation:

Here, the given equation,

`x+(x-8)+(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,

`(x-8)/(2)` is the amount of rubbing alcohol,

From equation (1),

`(2x+2(x-8)+x-8)/(2)=38`

`(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-(x-8)/(2)`

`=20-(20-8)/(2)`

`=20-(12)/(2)`

`=20-6`

`=14\text{ ml}`