You have $123.50 in quarters and dimes that are 1202 coins altogether which system of equations can you use to find the number of each type of coin you have ?

Let Q = quarters and D = dimes

There are a total of 1202 coins, so we have to add the quarters and dimes together to get this.

Q + D = 1202

Quarters have a value of 25 cents or 0.25, dimes have a value of 10 cents or 0.10. The combination of the amount of quarters and their respective value and the amount of dimes and their respective value equate to $123.50.

0.25Q + 0.10D = 123.50

Put the two equations together. Your system of equations is:

Q + D = 1202

0.25Q + 0.10D = 123.50

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