Question

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?

Answer 1

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

Answer 2

How did 95s+107b=6000 step came can u elabrate and answer please

Answer 3

The owner of ‘War Zone’ gaming shop uses 3 different colored tokens for their game
machines. For $20 you can purchase any of the following mixtures of tokens: 14 green,
20 red and 24 yellow; OR, 20 green, 15 red and 19 yellow; OR, 30 green, 5 red, and 13
yellow. Write a system of equations that can be used to find the monetary value of each
token. Use an appropriate method to solve the system of equations.