Question

I barely ask questions but I really need help with #3 and a little with 4. On number four I got 1 1/20 which doesn’t seem right. Please help! Due tomorrow!

Answer 1

Let r, g and b represent red, green and blue.

r+g+b = 74

r=g-1

b=r+g

Again, r+g+b = 74. Let's substitutte r+g for b: r+g+(r+g) = 74.

Next, let's eliminate r. Use r=g-1. Then g-1 + g + g-1 + g = 74

Combining the g terms, 4g - 2 = 74 => 4g = 76 => g = 19

Recall that r=g-1
and
b=r+g

Find r. If r=g-1, and g=19, then r = 19-1=18

Find b: b = r+g = 18+19=37

So there are 37 blue candies, 18 red candies and 19 green candies.

Check: 37+18+19=74 ??? Yes.