Question 557067: KiKi has $5.10 in nickels,dimes,and quarters. He has an equal number of dimes and nickels, with the value of the quarters being $2.40 more than the total value of the dimes and nickels. How many dimes does she have?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Write an equation for each statement
:
Ki has $5.10 in nickels, dimes, and quarters.
.05n + .10d + .25q = 5.10
:
He has an equal number of dimes and nickels,
d = n
:
with the value of the quarters being $2.40 more than the total value of the dimes and nickels.
.25q - (.05n + .10d) = 2.40
d = n, replace n with d
.25q - (.05d + .10d) = 2.40
.25q - .15d = 2.40
:
Back to the 1st equation, replace n with d there too, subtract the above equ
.05d + .10d + .25q = 5.10
:
+.15d + .25q = 5.10
-.15d +.25q = 2.40
------------------- subtraction eliminates q, find d
.30d = 2.70
d = 
d = 9 dimes
:
:
You can confirm this solutions by finding the no. of nickels (9) and quarters and the value thereof.
|
|
|
