# Math

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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?

• Math -

in original jar:
number of reds = 3x
number of yellows = 4x

after the eating:
number of reds = 3x-3
number of yellows = 4x - 6

(3x-3)/(4x-6) = 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

• Math -

36

• Math -

Popop5

• Math -

36 jellybeans on the dish

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