Question

Thirty five more boys than 2/3 the number of girls participate in intramural sports at the local high school. If the number of boys participating is 115, how many girls participate

Answer 1

Answer:

120

Step-by-step explanation:

Let g = number of girls.

(2/3)g is 2/3 the number of girls

(2/3)g + 35 is 35 more than 2/3 the number of girls. This is the number of boys.

(2/3)g + 35 = 115

(2/3)g = 80

(3/2)(2/3)g = 80(3/2)

g = 120