Question

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

Answer 1

N= 20 because 1/5 of 20 is 4 

Answer 2

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

$n+\dfrac{1}{5} n.$

You know that this sum is equal to 24, so

$n+\dfrac{1}{5} n=24.$

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.