Question

Joan has $3.25 worth of change in nickels and dimes. If she has 3 times as many nickels as dimes, how many of each type of coin does she have?

Answer 1

Joan has 39 nickels & 13 dimes

Explanation:

Let n be the number of nickels and d be the number of dimes. We have the system of equations:

• 5n + 10d = 325
• n = 3d

Substituting the second equation into the first equation, we get:

• 5(3d) + 10d = 325
• 15d + 10d = 325
• 25d = 325
• d = 13

Substituting this value back into the second equation, we get:

• n = 3(13)
• n = 39

So, Joan has 39 nickels and 13 dimes.