SOLUTION: You have 25 coins consisting of dimes and quarters. You have a total of $5.95. How many dimes and how many quarters do you have? Solve using a system of equations.
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Question 1066327: You have 25 coins consisting of dimes and quarters. You have a total of $5.95. How many dimes and how many quarters do you have? Solve using a system of equations.
It would be great if you could answer this for me thank you! Found 2 solutions by addingup, ikleyn:Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! Using the substitution method:
d+q = 25 subtract d from both sides:
q = 25-d
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0.10d+0.25q = 5.95 substitute for q:
0.10d+0.25(25-d) = 5.95
0.10d-0.25d+6.25 = 5.95
-0.15d = -0.30 divide both sides by -0.15 and remember -/- = +
d = 2 You have 2 dimes
q = 25-d = 25-2 = 23
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check:
0.25(23) = 5.75
0.10(2) = 0.20
Total . . .5.95 Correct
A lot of money !!
Probably, all coins are quarters ! - Let's check.
25 quarters are worth 25*25 = 625 cents.
Exactly 30 cents more than the given 595 cents.
Why the given is 30 cents less than 625 cents ??
Because some of 25 quarters must be replaced by real dimes.
How many? The difference between a quarter and a dime is 15 cents.
Hence WHAT ?? - Exactly two of 25 quarters must be replaced by dimes.
Answer. 2 dimes and 23 quarters.
Check. 2*10 + 23*25 = 595 cents.
So, I showed you how to solve this simple problem MENTALLY, WITHOUT using equations.
But you can solve it with equations, too.
Exactly as the other tutor did it for you.
You may ask me: for what reason did I show it to you ?
