Question

The ratio of the number of red beads to the number of green beads to the number of blue beads is 2 : 3 : 7. There are 150 more blue beads than red beads. How many beads are there in all? Please show work.

Answer 1

R = red beads
G = green beads
B = blue beads

Given:
R/2 = G/3 = B/7
B = R + 150

How many reds?
R/2 = (R+150)/7
7*R/2 = R + 150
7*R = 2*R + 300
5*R = 300
R = 60

How many blue?
B = R + 150
B = 210

How many green?
G/3 = R/2
G/3 = 60/2
G/3 = 30
G = 90

How many total?
Total = R+G+B
Total = 60+90+210
Total = 360