Answer:
girls = 61
boys = 73
Step-by-step explanation:
Let x = number of girls
Let y = number of boys
Given the difference between the number of the girls and the number of the boys in the outdoors club is 12:
⇒ y - x = 12
Given there are 4 times the number of the girls decreased by 25 equals 3 times the number of the boys:
⇒ 4x - 25 = 3y
Rearrange x - y = 12 to make y the subject:
⇒ y = 12 + x
Substitute x = 12 + y into 4x - 25 = 3y and solve for y:
⇒ 4x- 25 = 3(12 + x)
⇒ 4x- 25 = 36 + 3x
⇒ x = 61
Now we have found the value of x, substitute this into y = 12 + x and solve for y:
⇒ y = 12 + 61
⇒ y = 73