Math, integer problem?

Question

My wife is going back to school and she is having problems with Integer problems. Can someone help me/her with this problem?

THREE-FIFTHS OF A NUMBER IS NEGATIVE THIRTY. FIND THE NUMBER.

Thanks!!!

Answer 1

let x= the unknown number
solution:
(3/5)X = -30
(3/5)(5/3)X = -30 (5/3) multiply both sides by 5/3
X = -150/3
X = -50

Answer 2

The answer is -50.
since you know that to get -30, you have to multiply number n by 3/5, you set up an equation:
3/5 n = -30
multiply each side by 5 to get rid of the denominator in the first part of the equation.
3n= -150
divide each side by 3, and you receive:
n= -50
hope this helped, good luck, and if you need any more help don't be afraid to post again!
~a thirteen year old.

Answer 3

Two consecutive odd integers: x and x +2 9 x = 7 (x+2) 9 x = 7 x +14 x = 7 Therefore, your two numbers are 7 and 9. :)

Answer 4

3/5x = -30

you need to isolate x by making it 1x. do that by multiplying 3/5x by 5/3.

3/5 times 5/3 = 1 (the fractions cancel out with cross-multiplication, when you write it out)

now you need to do the same to the other side. 30 * 5/3. This can be simplified because 30 is diagonal from the 3 when you set it up. It cancels out, because you can divide both numbers by 3.

30 divided by 3 = 10

3 divided by 3 = 1

now all you need to do is 10 times 5, which equals 50.

x = 50

good luck to your wife! equations get easier once you practice often.

Answer 5

To make this easier because to read, I am going to write 3/5 as 0.6 for this solution. I am using X to represent the number I am solving for.

Using a ratio,
1/0.6 = X/-30


Then I multiply both sides of the ratio by -30
so
-30*1/0.6 = X* -30/-30

The -30/-30 on the right side becomes 1 so it can be rewritten as

-30/0.6=X = -50

Answer 6

Translate it into math:

(3/5)*n = -30

The word "of" generally means multiply. "Is" and the like imply an equals sign.

So:

n = (5/3) * (-30) = -50

Answer 7

3/5n=-30
So you would multiply by the reciprocal on both sides, which is 5/3, so that you can get "n" by itself.
Now you have n = -150/3 which is equal to -50

Good luck with the rest of the problems ;-)

Answer 8

Let the no. be x

3/5(x) = -30
x 5: 3(x) = -150
/ 3 : x = -50

Answer 9

(3/5)x = -30

x = -50