algebra 1

posted by nicole

The sum of a number and 2/5 (two fifths) of itself is 56. What is the number?

HOW IN THE HECK AM I SUPPOSED TO SET UP THIS EQUATION? PLEASE HELP... I AM DESPERATE!

1. Danielle

Try:
56 = n + 2/5n

2. nicole

Thanks :) but now I'm stuck on actually finding out what the integers are :(

3. DrBob222

What is your problem with solving the equation?

4. nicole

I just don't know how to go about it.

I have

n + 2/5n = 56

but now what?

5. DrBob222

n + (2/5)n = 56

The simple way is to convert 2/5 to a decimal. You can divide 2 by 5 on your calculator and obtain 0.4, then
n + 0.4n = 56
1n + 0.4n = 56
1.4n = 56
divide both sides by 1.4
1.4n/1.4 = 56/1.4
n = ??

6. manny

56 = 1n +(2/5)n

56 = (1+(2/5))n

56 = (7/5)n

n = (5/7)*56

n= 40
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7. nicole

THANK YOU SO MUCH! now it makes sense!!!!!!!!!!!!!!!!!!!!!!!!!

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