Question

Nathan has 102 solid-colored disks that are red.

blue, and green. He lines them up on the floor
and finds that there are 3 more red disks than blue
and 6 more blue disks than green. How many red
disks are there?​

Answer 1

red=35 green=29 blue=38

Explanation:

Answer 2

blue = 35

green = 29

red = 38

Explanation:

Let r = red

Let g = green

let b = blue

r + g + b = 102

r = b + 3

b = g + 6 Subtract 6 from both sides of the equation

b - 6 = g

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substitute for red and green

(b + 3) + b + b - 6 = 102

b + 3 + b + b - 6 = 102

Combine like terms

3b - 3 = 102

Add 3 to both sides

3b - 3 + 3 = 102 + 3

3b = 105

Divide by 3

3b/3 = 105/3

b = 35

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r = b + 3

r = 35 + 3

r = 38

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g = b - 6

g = 35 - 6

g = 29

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