SOLUTION: Bubba has 20 American coins, all quarters (25 cent coins) and dimes (10 cent coins). If the total value of his money is $ 3.05, how many of each type of coin does he have?
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Question 1090276: Bubba has 20 American coins, all quarters (25 cent coins) and dimes (10 cent coins). If the total value of his money is $ 3.05, how many of each type of coin does he have?
Let Q be the number of quarters.
Then the number of dimes is (20-Q), according to the condition.
The quarters contribute 25Q cents to the total.
The dimes contribute 10*(20-Q) cents to the total.
Your "value" equation is
25Q + 10*(20-Q) = 305 cents.
Simplify and solve for Q:
25Q + 200 - 10Q = 305 ====> 15Q = 305 - 200 = 105 ====> Q = = 7.
Answer. 7 quarters and (20-7) = 13 dimes.
Check. 7*25 + 13*10 = 175 + 130 = 305 cents. ! Correct !
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