SOLUTION: please help me solve this word problem david has a container filled with quarters and nickels he has 33 coins which add up to $6.85 how many quarters does he have
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Question 1129095: please help me solve this word problem david has a container filled with quarters and nickels he has 33 coins which add up to $6.85 how many quarters does he have
You can put this solution on YOUR website! david has a container filled with quarters and nickels he has 33 coins which add up to $6.85 how many quarters does he have
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Quantity Equation:: q + n = 33 coins
Value Equation::: 25q +5n = 685 cents
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Simplify::
q + n = 33
5q + n = 137
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Subtract and solve for "q"::
4q = 104
q = 26 (# of quarters)
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Solve for "n"::
n = 33-q = 33-26 = 7 (# of nickels)
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Cheers,
Stan H.
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Let he has Q quarters; then the number of nickels is (33-Q).
Nickels contribute 5*(33-Q) cents to the total.
Quarters contribute 25*Q cents to the total.
In all, there are
5*(33-Q) + 25Q = 685 cents
5*33 - 5Q + 25Q = 685
20Q = 685 - 5*33 = 520
Q = = 26.
Answer. 26 quarters and 33-26 = 7 nickels.
Check. 26*25 + 7*5 = 685 cents. ! Correct !
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