SOLUTION: a collection of dimes and quarters is worth $25. there are 40 more dimes than quarters. how many of each are there?
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Question 4996: a collection of dimes and quarters is worth $25. there are 40 more dimes than quarters. how many of each are there?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Let x = number of quarters
x+ 40 = number of dimes
Working the problem in "cents", you must change the $25.00 to 2500 cents.
25(x) + 10(x+ 40) = 2500
25x + 10x + 400 = 2500
35x + 400 - 400 = 2500 - 400
35x = 2100
quarters
x+40 = 100 dimes
Check: Total value equals $25.
Quarters = .25(60) = $15
Dimes = .10 (100) = $10
Total = $25
R^2 at SCC
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