Question

3. Theresa has 20 coins that are dimes and quarters. Together

they equal $2.75. How many of each type of coin does she have?

Answer 1

• 15 dimes
• 5 quarters

Explanation:

Let q represent the number of quarters Theresa has. Then the value of her coins is ...

0.25q + 0.10(20 -q) = 2.75

0.15q = 0.75 . . . . . . . . . subtract 2.00, collect terms

q = 0.75/0.15 = 5

Theresa has 5 quarters and 15 dimes.