Question

In the FreeWheelin' Skate Shop, exactly 1/4 of the skateboards are red and exactly 2/3 of the scooters are red. If there are equal numbers of red skateboards and red scooters in the shop, what fraction of the total skateboards and scooters together are red?

Answer 1

if there are x skateboards and y scooters, the fraction is
(1/4 x + 2/3 y)/(x+y)
now, since 1/4 x = 2/3 y, y = 3/8 x
(1/4 x + 1/4 x)/(x + 3/8 x) = (1/2)/(11/8) = 4/11