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A mixture of dimes and quarters has a total value of $10.20. There are 57 coins in all. How many of each type are present?
Step 1. Let x be the number of quarters.
Step 2. Let 0.25x be the dollar value of quarters.
Step 3. Let y be the number of dimes.
Step 4. Let 0.10y be the dollar value of dimes.
Step 5. Then 0.25x+0.10y=10.20 be the total dollar value.
Step 6. Also, x+y=57 since there are 57 coins
Step 7. Our linear system of equation is given in Steps 4 and 5 is shown below: