Question

This year there were more than 800 entrants in the Kangaroo Hop race. Exactly 35% of the entrants were female and there were 252 more males than females. How many entrants were there in total?

Answer 1

Answer:

840

Step-by-step explanation:

m = number of males

f = number of females

t = total entrants

t = m + f

m = f + 252

0.35(m + f) = f (×20)

7(m + f) = 20f

These are simultaneous which can be solved:

7(m + f) = 20f

7m + 7f = 20f

7m = 13f

Substitute:

7(f + 252) = 13f

7f + 1764 = 13f

6f = 1764

f = 294

m = 546

t = 294 + 546

t = 840