1. Coin Problems

2. Example 1
A collection of nickels and dimes is worth $3.95. There are 8 more dimes than nickels. How many dimes and how many nickels are there?
Let n be the number of nickels.
Let d be the number of dimes.
0.05n d = 3.95
d = 8 + n
d = 8 + n
0.05n (8 + n) = 3.95
d =
0.05n n = 3.95
d = 29
5n n = 395
21 nickels
n = 395
29 dimes
15n = 315
n = 21

3. Example 2
Rob has $2.85 in nickels and dimes. He has twelve more nickels than dimes. How many of each coin does he have?

4. Example 3
Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05. How many of each coin does she have?