the ratio of reds to greens was 5 to 16 and six times the number of reds exceeded the number of greens by 112. how many were red and how many were green?

call red as X then X/Green =5/16 => green = 16X/5.
six times the number of reds exceeded the number of green by 112 => 6X-16X/5=112 => 14X/5=112 => X= 40 => reds:40 => green = 128

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adioabiola adioabiola · Answer 2 · 2021-11-09T07:03:22-05:00

The number of reds and greens according to the question is 40 and 128 respectively.

Let the number of reds be: x

Let the number of greens be: y.

Therefore; x/y = 5/16.

According to the question;

The ratio of reds to greens was 5 to 16

Six times the number of reds exceeded the number of greens by 112.

Therefore;

x/y = 5/16.............eqn(1)

6x - y = 112..........eqn(2)

From equation (1),

y = (16/5)x = 3.2x

Therefore;

6x - 3.2x = 112

2.8x = 112

x = 112/2.8

x = 40

and y = 3.2(40)

y = 128