Question

I NEED HELP PLEASE!

When one half of a number is added to one third of a number, the answer is 30. Find the number.

Answer 1

36

Answer 2

ok, so lets call this mystery number 'x'

we know that (1/2)x + (1/3)x = 30

Answer 3

I know the answer! I need to EXPLAIN how i got the answer.

Answer 4

ok, so from there, we can add the fractions as long as we have a common denominator right? so lets make our common denominator 6 since that is 2 times 3

Answer 5

okay then

Answer 6

that means that we need to multiply the (1/2)x by (3/3) and the (1/3)x by (2/2)

this will give us 3x/6 + 2x/6 = 30

Answer 7

Can you write all in once? that's gonna make me easy to understand :(

Answer 8

now we can add them together and we get 5x/6 = 30

Answer 9

yup, i got you, here it is:

(1/2)x + (1/3)x = 30

(3/3)(1/2)x + (2/2)(1/3)x = 30

3x/6 + 2x/6 = 30

5x/6 = 30

5x = 30(6)
5x = 180

x= 180/5

x = 36

Answer 10

does that help?

Answer 11

AWWHH! Thanks a LOT :)

Answer 12

no problem! hope that is clear enough!

Answer 13

Yes. It is. :)