Math Ratios
posted by Dottie .
Julian, Majid and Pillay had the same number of rubber bands. During a game, Julian lost 12 rubber bands to Pillay and Majid lost 20 rubber bands to Pillay. The ratio of Julian's rubber bands to Majid's rubber bands became 4:3. How many rubber bands did each boy have at first?

Before game:
Julian  x bands
Majid  x
Pillay x
after game:
Julian  x12
Majid  x20
Pillay  x + 32
(x12) : (x20) = 4 : 3
4x  80 = 3x  36
x = 44
each had 44
check:
4412 : 4420
= 32 ; 24
= 4:3