Question

kira has two solutions that contain alcohol and is mixing them with each other. she uses 100 milliliters less of solution a than solution b. solutions a is 11% alcohol and solution b is 20% alcohol. the resulting mixure has 51 milliliters of pure alcohol. how many milliliters of solution b did she use

Answer 1

200 ml

Explanation:

She uses a ml of solution a.

She uses b ml of solution b.

Equation of the amount of each solution:

a = b - 100

Equation of the amount of alcohol:

0.11a + 0.2b = 51

0.11(b - 100) + 0.2b = 51

0.11b - 11 + 0.2b = 51

0.31b = 62

b = 200

Answer: 200 ml