A bag contains green marbles and blue marbles, 43 in total. The number of green marbles is 8 more than 4 times the number of blue marbles. How many green marbles are there?

36 green marbles

Step-by-step explanation:

Let b = number of blue marbles

g = number of green marbles

g = 4b+8

The total is 43

g+b = 43

Substitute 4b+8 in for g

4b+8 + b = 43

Combine like terms

5b + 8 = 43

Subtract 8 from each side

5b+8-8 = 43-8

5b = 35

Divide each side by 5

5b/5 = 35/5

b=7

There are 7 blue marbles

Now we need to find the green marbles

b+g=43

43-b = g

43 - 7 = 36

36

Step-by-step explanation:

green = 4blue + 8

blue + 4blue + 8 = 43

5blue = 35

blue = 7

green = 4 (7) + 8

green = 36