SOLUTION: James has pennies, nickles and dimes in his bank. he has more than $1.60 and less than $2.00 in the bank. there are 5 times as many pennies as dimes. there is an equal number of ni

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Question 600034: James has pennies, nickles and dimes in his bank. he has more than $1.60 and less than $2.00 in the bank. there are 5 times as many pennies as dimes. there is an equal number of nickels and dimes. what is the exact amount of money in his bank?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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James has pennies, nickles and dimes in his bank. he has more than $1.60 and less than $2.00 in the bank.
there are 5 times as many pennies as dimes.
p = 5d
:
there is an equal number of nickels and dimes.
n = d
:
what is the exact amount of money in his bank?
Try a total of 1.80
.01p + .05n + .10d = 1.80
in terms of d
.01(5d) + .05d + .10d = 1.80
.05d + .05d + .10d = 1.80
.20d = 1.80
d = 1.8/.2
d = 9 dimes
then
n = 9 nickles
and
p = 5(9) = 45 pennies
:
See if that works: .45 + .45 + .90 = $1.80 can be the exact amt