Question

Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a

hand sanitizer that is x% alcohol,

How many milliliters of water is in the resulting mixture of hand sanitizers?

Answer 1

(370-2x)ml

Explanation:

We are given that

In first hand sanitizer

Total solution=200ml

Alcohol=15% of 200ml

Alcohol=
`(15)/(100)* 200=30ml`

In second hand sanitizer

Solution=200 ml

Alcohol=x% of 200 ml

Alcohol=
`(x)/(100)* 200=2x ml`

We have to find the water in the resulting mixture of hand sanitizers.

Total solution of two hand sanitizers=200+200=400ml

Total alcohol in two hand sanitizers=(30+2x)ml

Water in two hand sanitizers=400-(30+2x) ml

Water in two hand sanitizers=400-30-2x ml

Water in two hand sanitizers=(370-2x)ml

Hence, water in the resulting mixture of hand sanitizers=(370-2x)ml