Question

leandra has 40 coins that total $7.15. all of her coins are dimes, d, and quarters, q. which system of equations models this situation? 1 $d + q = 7.15$ $0.25d + 0.10q = 40$ 2 $d + q = 40$ $0.25d + 0.10q = 7.15$ 3 $d + q = 40$ $0.10d + 0.25q = 7.15$ 4 $d + q = 7.15$ $0.10d + 0.25q = 40$

Explanation:

Step1: Define total coin count

Let $d$ = number of dimes, $q$ = number of quarters. Total coins: $d + q = 40$

Step2: Define total monetary value

Dimes = $0.10 each, quarters = $0.25 each. Total value: $0.10d + 0.25q = 7.15$

Answer:

1. $d + q = 40$

$0.10d + 0.25q = 7.15$