Question

The number of boys is 3/5 of the number of girls. If there are 120 children all together, how many boys are there? PLEASE HELP ME!!!!!!!!

Answer 1

There are 45 boys.

Explanation:

The best way to easily solvethis is by making equations, see below.

`let \: b \: represent \: number \: of \: boys \\ let \: g \: represent \: number \: of \: girls`

`b + g = 120 \\ b = (3)/(5) g`

Now we can subtract the secons equation from the first.

`g = 120 - (3)/(5) g`

I'm also goong to multiply the equatipn by 5 to remove the fraction.

`5g = - 3g + 600`

Now simplify

`8g = 600 \\ g = 75`

Now we found out there are 75 girls. Now we insert this into our second equation to find how many boys there are.

`b + 75 = 120 \\ b = 45`

Now we know there are 45 boys.

Answer 2

72 boys

Explanation:

120 * .60. That's how you solve it! Hope it helps!

Further explanation:

To get .60, you divide 3 by 5 which is .60

Then you multiply 120 times .60 and you'll get 72 which is 72 boys

Bonus: 120 - 72 = 48 girls!