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

Respuesta :

N= 20 because 1/5 of 20 is 4 
frika

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

[tex] n+\dfrac{1}{5} n.[/tex]

You know that this sum is equal to 24, so

[tex] n+\dfrac{1}{5} n=24.[/tex]

1. Multiply this equation by 5:

[tex] 5n+n=120.[/tex]

2. Solve it:

[tex] 6n=120,\\n=120:6,\\n=20.[/tex]

Answer: n=20, correct choice is B.

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