math
posted by laurie on .
An arcade uses 3 different colored tokens for their game machines. For $20 you can purchase
any of the following mixtures of tokens: 14 gold, 20 silver, and 24 bronze; OR, 20 gold, 15
silver, and 19 bronze; OR, 30 gold, 5 silver, and 13 bronze. What is the monetary value of
each token?

14g + 20s + 24b = 2000
20g + 15s + 19b = 2000
30g + 5s + 13b = 2000
subtract 2x#3 from 3x#2
subtract 7x#2 from 10x#1
35s + 31b = 2000
95s + 107b = 6000
subtract 19x#1 from 7x#2
160b = 4000
b = 25
s = 35
g = 50