SOLUTION: You have 50 coins, which total $6.95. They are all dimes and quarters. How many dimes and how many quarters do you have?

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Question 1134727: You have 50 coins, which total $6.95. They are all dimes and quarters. How many dimes and how many quarters do you have?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You have 50 coins, which total $6.95. They are all dimes and quarters. How many dimes and how many quarters do you have?
================
d + q = 50
10d + 25q = 695

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

You have 50 coins, which total $6.95. They are all dimes and quarters.
let dimes be d and quarters q
d+%2Bq=50...solve or dimes
d+=50-q........eq.1
total $6.95,
dime is $+0.10
quarter is $+0.25
then we have
+0.10d%2B0.25q=6.95.....substitute dime from eq.1
+0.10%2850-q%29%2B0.25q=6.95.........solve for q
+5-0.10q%2B0.25q=6.95
+0.15q=6.95-5
+0.15q=1.95
+q=1.95%2F0.15
+q=13
go to d+=50-q........eq.1, substitute q
d+=50-13
d+=37
so, you have 37 dimes and +13 quarters

check:
+0.10d%2B0.25q=6.95
+0.10%2A37%2B0.25%2A13=6.95
+3.7%2B3.25=6.95
+6.95=6.95