SOLUTION: A jar containing pennies, nickels and dimes is worth $8.40. The number of dimes is six less than twice the number of pennies and there is an equal number of dimes and nickels. Ho

Question 168521: A jar containing pennies, nickels and dimes is worth $8.40. The number of
dimes is six less than twice the number of pennies and there is an equal
number of dimes and nickels. How many nickels are in the jar.
Found 2 solutions by Mathtut, josmiceli:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call the number of pennies p, nickels n, and dimes d.
.01p+.05n+.1d=8.4---eq 1
d=2p-6--------------eq 2
d=n-----------------eq 3
:
lets plug in values from eq 2 and 3 into eq 1 remembering that n=d
.01p+.05(2p-6)+.1(2p-6)=8.4
.01p+.1p-.3+.2p-.6=8.4
.31p=9.3

d=2(30)-6=54
and since d=n
then the number of nickels is 54
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of pennies
Let = the number of nickels
Let = the number of dimes
Given:
(1) (in cents)
(2)
(3)
------------
From (2),

Substitute in (1)

Multiply both sides by

There are 54 nickels in the jar
Also,

Now check answer:

OK
RELATED QUESTIONS
A box contains nickels, dimes and pennies worth $8.40. The number of dimes is six less... (answered by Fombitz)
A box contains nickels, dimes and pennies worth $8.40. The number of dimes is six less... (answered by josgarithmetic,MathTherapy,ikleyn)
A box contains nickels, dimes and pennies worth $6.20. The number of nickels is two less... (answered by lwsshak3)
A jar with pennies, nickels, and dimes contains a total of 55 coins worth $3.23. How many (answered by ptaylor)
a box contains nickels, dimes and pennies worth $5.56. The number of pennies is one more... (answered by ankor@dixie-net.com)
a box contains nickels, dimes and pennies worth $5.56. the number of pennies is one more... (answered by TimothyLamb)
A big jar contains four times as many quaters as pennies, three times as many nickels as... (answered by stanbon,uma)
Some number of dimes plus Nickels equal $7.20 . the number of dimes is three less than... (answered by macston)
Ethan has $1.25 in dimes nickels and pennies that�s why said many dimes and pennies and... (answered by Alan3354,josgarithmetic)