Thread: algebra (combinations)

If Julie has $1.25 in dimes and nickels, how many different combinations of the coins could she have?

Originally Posted by sri340

If Julie has $1.25 in dimes and nickels, how many different combinations of the coins could she have?

Setting up the relationship we get



Now lets isolate N to get


Now just plug in in to get all of the ordered pairs.

Hello, sri340!

Julie has $1.25 in dimes and nickels.
How many different combinations of the coins could she have?

Let: .


Then: .

Their total value is 125 cents: .


So we have:

. . .


There are 13 combinations.