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?
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