Question 1189811: A woman has 25 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.75, how many dimes and how many quarters does she have?
Your answer is:
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A woman has 25 coins in her pocket, all of which are dimes and quarters.
If the total value of the coins is $ 4.75,
how many dimes and how many quarters does she have?
:
d = no. of dimes
q = no. of quarters
:
"A woman has 25 coins in her pocket, all of which are dimes and quarters."
d + q = 25
"If the total value of the coins is $ 4.75,"
.10d + .25q = 4.75
:
how many dimes and how many quarters does she have?
multiply above equation by 10, subtract the first equation
d + 2.5q = 47.5
d + q = 25
-----------------subtraction eliminates d, find q
0 + 1.5q = 22.5
q = 22.5/1.5
q = 15 quarters
then
25 - 15 = 10 dimes
:
:
Check
15 * .25 = 3.75
10 * .10 = 1.00
----------------
totals to 4.75
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! A woman has 25 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 4.75, how many dimes and how many quarters does she have?
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If it were all dimes, it would be 250 cents.
Each dime replaced by a quarter adds 15 cents.
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475 - 250 = 225
225/15 = 15 quarters.
etc
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