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sladkih [1.3K]
3 years ago
5

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 v

alue n? n = 18 n = 20 n = 214/5 n = 234/5
Mathematics
2 answers:
Lady_Fox [76]3 years ago
7 0

For this case we must find the value of n of the following equation:

n + \frac {1} {5} n = 24

Taking common factor "n" from the left side of the equation we have:

n (1+ \frac {1} {5}) = 24\\n \frac {6} {5} = 24

Multiplying by 5 on both sides of the equation:

6n = 120

Dividing between 6 on both sides of the equation:

n = 20

Thus, the value of n is 20.

Answer:

n = 20

hichkok12 [17]3 years ago
7 0

Answer: Second Option

n = 20

Step-by-step explanation:

Let's call n the number searched.

Then one fifth of this number is written as

\frac{1}{5}n

Then at 1 / 5n the number n is added.

So, we have

n + \frac{1}{5}n

Now we know that the result of this sum is equal to 24. Then we write the equation:

n + \frac{1}{5}n = 24.

Now we solve the equation:

\frac{6}{5}n = 24

Muple both sides of equality by \frac{5}{6}

\frac{5}{6} * \frac{6}{5}n = 24*\frac{5}{6}

n = 20

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