Question

When a number is added to StartFraction 1 Over 5 EndFraction of itself, the result is 24. The equation that models this problem is n + n plus StartFraction 1 Over 5 EndFraction n equals 24.n = 24. What is the value n?

Answer 1

n = 20

Explanation:

The problem says that there is a number (n) that is added to 1/5 of itself ((1/5)*n), and that sums is equal to 24, so the equation that models the problem is:

n + (1/5)*n = 24

Taking the least common multiple in the left side, which is 5:

(5n + n)/5 = 24

6n = 120

n = 120/6

n = 20