SOLUTION: Jason has $4.15 in his pocket. If he has twice as many buckles as quarters and the number of times is four less than three times his quarters, home many of each coin does Jason ha
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Question 1106031: Jason has $4.15 in his pocket. If he has twice as many buckles as quarters and the number of times is four less than three times his quarters, home many of each coin does Jason have. Answer by ikleyn(52788) (Show Source):
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Jason has $4.15 in his pocket. If he has twice as many nickels as quarters and the number of dimes is four less than three times his quarters, how many of each coin does Jason have.
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Let Q be the number of quarters.
Then the number of nickels is 2Q,
while the number of dimes is (3Q-4), according to the condition.
The "value" equation is
nickels + dimes + quarters = 415 cents, or
5*(2Q) + 10*(3Q-4) + 25*Q = 415,
10*Q + 30*Q - 40 + 25*Q = 415,
65*Q = 415 + 40 ====> 65*Q = 455 ====> Q = = 7.
Answer. 7 quarters, 2*7 = 14 nickels and 3*7-4 = 17 dimes.
Check. 7*25 + 14*5 + 10*17 = 415 cents. ! Correct !
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