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There are 130 m&m's in a bag. there are half as many green as red. the number of blue is equal to the number of red and green combined. there are half as many yellow as blue. there are 4 more brown than yellow. how many of each color are in the bag? what is the answer

Respuesta :

Let x = red
Let 0.5x = green
Let (x) + (0.5x) = 1.5x = blue
Let 0.5(1.5x) = 0.75x = yellow
Let 0.75x + 4 = brown

[tex](x) + (0.5x) + (1.5x) + (0.75x) + (0.75 + 4) = 130[/tex]
[tex]x + 0.5x+ 1.5x + 0.75x + 0.75 + 4 = 130[/tex]
[tex]4.5x + 4 = 130[/tex]
[tex]4.5x = 126[/tex]
[tex]x = 28[/tex]

Use this value to calculate the other required numbers.
red = 28
green = 0.5x = 0.5(28) = 14
blue = 1.5x = 1.5(28) = 42
yellow = 0.75x = 0.75(28) = 21
brown = 0.75x + 4 = 0.75(28) + 4 = 25