When a number is added to 1/5 of itself, the result is 24. the equation that models this problem is n 1/5 n = 24. what is the value n? n = 18 n = 20 n = 21 4/5 n = 23 4/5

Question

asked Oct 21, 2017 189k views

2 Answers

Kaolick · Answer 1 · 2017-10-26T11:23:00+0000

Let n be unknown number, then 1/5 of this number is 1/5n. When you add these two numbers, you get

n+(1)/(5) n.

You know that this sum is equal to 24, so

n+(1)/(5) n=24.

1. Multiply this equation by 5:

5n+n=120.

2. Solve it:

$6n=120,\\n=120:6,\\n=20.$

Answer: n=20, correct choice is B.