SOLUTION: I need some help with this word problem, setting it up to solve. Thanks.
Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and
Question 143228: I need some help with this word problem, setting it up to solve. Thanks.
Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have? Found 2 solutions by vleith, solver91311:Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website! Let d be the number of dimes, n be the number of nickels
Given:
also given:
Solve for d use elimination and subtract
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check your answer. if , then =
Verify using the second equation.
check!
You can put this solution on YOUR website! Number of dimes:
Number of nickels:
Value (in cents) of dimes:
Value (in cents) of nickels:
Value (in cents) of current collection:
Number of dimes in the 'what if' collection:
Number of nickels in the 'what if' collection:
Value (in cents) of the dimes in the 'what if' collection:
Value (in cents) of the nickels in the 'what if' collection:
Value (in cents) of 'what if' collection:
and => =>
Now you have 2 equations in 2 variables. Solve for d.
I changed everything from dollars/cents to cents just because I prefer integer coefficients as opposed to decimal fraction coefficients.
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