SOLUTION: the coin box of a vending machine contains $4.55 in dimes and quarters. If there were 23 coins all together, how many of each are there? Solve this using linear systems

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Question 840913: the coin box of a vending machine contains $4.55 in dimes and quarters. If there were 23 coins all together, how many of each are there?
Solve this using linear systems
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.D%2BQ=23
0.10D%2B0.25Q=4.55
2.10D%2B25Q=455
From eq. 1,
10D%2B10Q=230
10D=230-10Q
Substitute into eq. 2,
230-10Q%2B25Q=455
15Q=225
Q=15
Then from eq.1,
D=23-15
D=8