SOLUTION: Paul has 30 coins in dimes and quarters. Their total value is $4.50. Find the number of each coin.
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Question 225098: Paul has 30 coins in dimes and quarters. Their total value is $4.50. Find the number of each coin.
Answer by LtAurora(115) (Show Source): You can put this solution on YOUR website!
Okay, set up the two given equations:
Solve the first one for one of the variables:
Plug this into the second equation:
Simplify:
Combine like terms:
Subtract the from both sides:
Divide both sides by -.15:
So, we have 20 dimes.
Since we know that
So, 10 quarters.
Checking our work, 20 dimes = $2 and 10 quarters = $2.5. The sum of those two gives us $4.5, so we're correct. Yay!
:-)
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