SOLUTION: There are 16 coins in a bank. If the coins are all nickels and dimes and they total $1.05, how many nickels are there?

Question 262199: There are 16 coins in a bank. If the coins are all nickels and dimes and they total $1.05, how many nickels are there?
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
Let n = the number of nickels
d = the number of dimes
Eqn 1: n + d = 16
Eqn 2: 0.05*n + 0.10*d = 1.05
Step 1: Isolate for d in Eqn. 1:
d = 16-n
Step 2: Substitute this value of d into Eqn 2:
0.05*n + 0.10*(16-n) = 1.05
0.05n + 1.6 - 0.10n = 1.05
-0.05n = -0.55
Divide both sides by -0.05:
n = -0.55/-0.05
n = 11
There are 11 nickels and 5 dimes.
RELATED QUESTIONS
If there are 35 coins worth $2.20,how many nickels and dimes are in the... (answered by josgarithmetic,greenestamps)

a piggy bank has only nickels and dimes in it. there are 16 coins worth $1.20. how many... (answered by Alan3354)

a piggy bank contains seventeen coins with a total of $1.15. If the coins are all nickels (answered by Alan3354)

A piggy bank contains nickels, dimes and quarters. There are three times as many dimes as (answered by richwmiller)

A collection of dimes and nickels has a total value of $1.65. If there are 20 coins in... (answered by jorel555,Boreal,ikleyn)

A collection of nickels and dimes total $4.05. There are 53 coins in the collection. How (answered by Maths68)

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels, (answered by ikleyn,richwmiller,greenestamps)

In Yvette's bank, there is $2.60 in pennies, nickels, and dimes. IN ALL, THERE are 45... (answered by stanbon)

Fifteen percent of the coins in a piggy bank are nickels and 5% are dimes. If there are... (answered by richwmiller)