SOLUTION: A soccer team has 3 more boys and 3/4 as many girls as last year. The number of players on the team is the same as last year. how many girls were on the team last year? There were

Question 1002870: A soccer team has 3 more boys and 3/4 as many girls as last year. The number of players on the team is the same as last year. how many girls were on the team last year? There were 8 boys n the team last year.

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let b = number of boys last year.
let g = number of girls last year.
p is the number of players on the team last year and this year (stayed the same).

last year b + g = p

last year b was equal to 8, so last year 8 + g = p

this year b + 3 + 3/4 * g = p

since b was 8 last year, b + 3 = 11 this year, so 11 + 3/4 * g = p

you have 2 equations that need to be solved simultaneously.

they are:

8 + g = p
11 + 3/4 * g = p

since p is equal to 8 + g in the first equation, you can replace p with 8 + g in the second equation to get:

11 + 3/4 * g = p becomes:

11 + 3/4 * g = 8 + g

subtract 3/4 * g from both sides of the equation and subtract 8 from both sides of the equation to get:

11 - 8 = g - 3/4 * g

combine like terms to get:

3 = 1/4 * g

multiply both sides of the equation by 4 to get:

12 = g

your solution is that b = 8 and g = 12

last year b + g = p becomes 8 + 12 = 20.

this year b + 3 + 3/4 * g becomes 8 + 3 + 3/4 * 12 which becomes 11 + 9 = 20.

your solution is confirmed to be correct.

your solution is:

the numbr of girls on the team last year was 12.

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