Using the total weight the number of red, green and yellow colour are 2, 4 and 3 respectively.
<h3>How to find each colour using total weight?</h3>
The total number of reds, yellows, and greens on a scale is 9.
The reds weighed 3 pounds each, the yellows weighed 6 pounds each, and the greens weighed 5 pounds each. The total weight is 44
pounds. There are 2 more greens than reds.
Therefore,
let
x = number of reds
number of greens = x + 2
y = number of yellow
Therefore,
x + x + 2 + y = 9
2x + y = 7
3x + 6y + 5(x + 2) = 44
3x + 6y + 5x + 10 = 44
8x + 6y = 34
Hence,
2x + y = 7
8x + 6y = 34
8x + 4y = 28
8x + 6y = 34
2y = 6
y = 6 / 2
y = 3
2x + 3 = 7
2x = 7 - 3
2x = 4
x = 4 / 2
x = 2
Therefore,
the number red colour = 2
the number of green colour = 2 + 2 = 4
the number of yellow colour = 3
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