Question

the only coins that kyle has are dimes and quarters. he has a total of 30 coins. the total value of kyles coins is $4.80. which of the following systems of equations can be used to find the number of dimes, d, and the number of quarters, q, kyle has?
$d + q = 30$
$0.25d + 0.10q = 4.80$
$d + q = 30$
$0.10d + 0.25q = 4.80$
$d + q = 4.80$
$0.10d + 0.25q = 30$
$d + q = 4.80$
$30d + 30q = 4.80$

Explanation:

Step1: Define total coin count

Let $d$ = number of dimes, $q$ = number of quarters. Total coins: $d + q = 30$

Step2: Define total coin value

Dimes = $0.10 each, quarters = $0.25 each. Total value: $0.10d + 0.25q = 4.80$

Answer:

$d + q = 30$
$0.10d + 0.25q = 4.80$