Answer:
There are 54 green marbles.
Step-by-step explanation:
Make two equations and you are going to solve them like systems of equations. Have x=green marbles and y=blue marbles.
x + y = 68
x = 4y - 2
Since we are finding the green marbles, we need to solve for x.
Rewrite the second equation: (x + 2)/4 = y
Solve the systems with the rewritten equation.
x + (x + 2)/4 = 68
x/1 + (x+2)/4 = 68
4x/4 + (x+2)/4 = 68
(4x + x +2)/4 = 68
(5x + 2)/4 = 68/1
Cross multiply
5x + 2 = 68(4)
5x + 2 = 272
5x = 270
x = 54
You can find the blue marbles just to check your work.
(4y - 2) + y = 68
5y - 2 = 68
5y = 70
y = 14
54 (green marbles) + 14 (blue marbles) = 68
