Math
posted by April .
The ratio of red jelly beans to yellow jelly beans in a dish is 3:4. if greg eats 3 red jelly beans and 6 yellow ones, the ratio is 4;5. how many jelly beans were originally in the dish?

in original jar:
number of reds = 3x
number of yellows = 4x
after the eating:
number of reds = 3x3
number of yellows = 4x  6
(3x3)/(4x6) = 4/5
16x  24 = 15x  15
x = 9
in original:
reds = 3(9) = 27
yellows = 4(9) = 36
total in jar = 63
check: 27 : 36 = 3 : 4
after eating: 24 : 30 = 4 : 5 
36

Popop5

36 jellybeans on the dish