Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how

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Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how many dimes?

Let d be the number of dimes. Let q be the number of quarters. We're given two equations:

1. 0.1d + 0.25q = 2.25
2. d + q = 12

We have a simultaneous system of equations. We can solve this 3 ways:

• Substitution Method
• Elimination Method
• Cramer's Rule

No matter which method we choose, we get the same answer:

• d = 5
• q = 7