Mr. Bird’s son is on a coed soccer team with Mrs. Twiddy’s daughters for a total of 36 team members. The number of girls is 3 less than double the number of boys. How many of the players are boys and how many are girls?
Write a system of equations to model the problem.
Solve the system by substitution, show your work.

Question

Mr. Bird’s son is on a coed soccer team with Mrs. Twiddy’s daughters for a total of 36 team members. The number of girls is 3 less than double the number of boys. How many of the players are boys and how many are girls?
Write a system of equations to model the problem.
 Solve the system by substitution, show your work.

jigglypuff314 · Answer

Hello @Ultimate_gamer and Welcome to OpenStudy!! :)

Let's first take the information that we know and make a system of equations:
"total of 36" which means boys plus girls equals that much
-> x + y = 36
"number of girls is 3 less than double the number of boys"
-> x = 2y - 3
where x is girls and y is boys

Follow so far? :)
we have the system of equations of:
x + y = 36   and
x = 2y - 3

jigglypuff314 · Answer

From here we can use the Substitution method:
plug in x = (2y - 3)
into the first equation of     x + y = 36

you will get:
(2y - 3) + y = 36

from there you can solve for   y ! (boys)

---
once you get that, you can plug in the   y   you got into the
x = 2(y) - 3
equation and get   x  !  (girls)

that will give you the two answers you need :)