Question

You have a total of 45 dimes and quarters. You have 3 more quarters than dimes. Which system of equations can you use to find the number x of quarters and number y of dimes you have? Use the system to determine how much money you have in quarters and dimes.

Answer 1

Let's call dimes x and the quarters x+3 since we have 3 more of them.

x+x+3=45

2x=42

x=21

we have 21 dimes and 23 quarters

21*0.10=2.1

23*0,25=5.98

if we add those together it equals 8.08

Answer 2

$8.10

Explanation:

Let d and q represent the # of dimes and quarters, respectively. Then write equations reflecting this story:

q = d + 3, and d + q = 45. Substitute d + 3 for q in the second equation, obtaining:

d + d + 3 = 45, or 2d = 42, or d = 21. Then there are 21 dimes and 24 quarters. That comes to $2.10 + $6.00, or $8.10.