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

Question

asked Aug 16, 2019 106k views

2 Answers

ISanych · Answer 1 · 2019-08-19T21:55:30+0000

Answer: The correct option is (B) n = 20.

Step-by-step explanation: Given that when a number is added to 1/5 of itself, the result is 24. The equation that models this problem is given by

n+(1)/(5)n=24~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the value of n.

Solving equation (i), we have

$n+(1)/(5)n=24\\\\\\\Rightarrow (5n+n)/(5)=24\\\\\Rightarrow 6n=5*24\\\\\Rightarrow n=(5*24)/(6)\\\\\Rightarrow n=20.$

Thus, the required value of n is 20.

Option (B) is CORRECT.