Question

The only coins that Kyle has are dimes and quarters. He has a total of 30 coins. The total value of Kyle's 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?

a) d * q = 20
b) 0.250d + 0.107q = 4.80
c) d + q = 4.80
d) 0.100d + 0.259q - 30 = 4.80
e) 300 + 200 = 4.80
f) d + 9 = 30
g) 0.100 + 0.25 = 4.80

Answer 1

The correct system of equations that can be used to find the number of dimes (d) and the number of quarters (q) that Kyle has is 0.250d + 0.107q = 4.80.

Step-by-step explanation:

The correct system of equations that can be used to find the number of dimes (d) and the number of quarters (q) that Kyle has is b) 0.250d + 0.107q = 4.80.

To solve this system of equations, we need to set up a system of equations based on the given information. Let's assign d as the number of dimes and q as the number of quarters.

From the problem statement, we know that:

1. The total number of coins is 30, which can be represented as d + q = 30.
2. The total value of the coins is $4.80, which can be represented as 0.10d + 0.25q = 4.80.

So, the correct system of equations is:

• d + q = 30
• 0.10d + 0.25q = 4.80

By solving this system of equations, you can find the number of dimes (d) and quarters (q) that Kyle has.