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= 215
n = 23.5

Answer 1

Answer: (b) n = 20

Step-by-step explanation: edge2020

Answer 2

n = 20

Explanation:

If we call "a number" n, the equation modelling that statment is:

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

Now, if we have one whole thing - 5/5 - and add 1/5 of that thing, we'll have a total of 6/5 of it. By that same logic, 1/5 of n + 5/5 of n = 6/5 of n. We can write that fact as

`(6)/(5)n=24`

So, we slice this number n up into 5 equal parts, we take 6 of those slices, and that gets us a total value of 24. What would the value of just 1 slice - a single fifth of n - be? Well, we'd just need to divide 24 by 6 to find that

`(1)/(5)n=24/6=4`

And if 1/5 of something is 4, that whole thing, 5/5, must be 5 × 4, or 20! Writing that step out in symbols, we have

`(1)/(5) n*5=4*5=20=n`

So n = 20.