Question

Mary has 18 more points than George. George has twice as many as Carrie. Carrie has 2 fewer points than Jennifer. Jennifer has 10 points. How many points do each one have?

Answer 1

Answer:

Mary = 34, George = 16, Carrie = 8, Jennifer = 10

Step-by-step explanation:

Set up the system of equations from the given information.

1) m = g + 18

2) g = 2 * c

3) c = j - 2

4) j = 10

Solve each equation one by one:

Plug eq.4 into eq.3:

5) c = 10 - 2 = 8

Plug eq.5 into eq.2:

6) g = 2 * 8 = 16

Plug eq.6 into eq.1:

m = 16 + 18 = 34