SOLUTION: I need to know the linear equation and answer. There are only nickels and dimes. There are 40% less dimes than nickels. The total of all coins is $11.00. How many nickels and how

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Question 278273: I need to know the linear equation and answer.
There are only nickels and dimes. There are 40% less dimes than nickels. The total of all coins is $11.00. How many nickels and how many dimes are there?
Thanks!

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
There are only nickels and dimes. There are 40% less dimes than nickels.
The total of all coins is $11.00.
How many nickels and how many dimes are there?
:
.05n + .10d = 11.00
:
"There are 40% less dimes than nickels." means
d = .6n
:
Substitute .6n for d
:
.05n + .10(.6n) = 11.00
.05n + .06n = 11
.11n = 11
n = 100 nickels
:
d = .6(100)
d = 60 dimes
:
Check
.05(100) + .10(60) =
5 + 6 = 11

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