Question

Lizzy has 30 coins that total $4.80. All of her coins

are dimes, D, and quarters, Q. Which system of
equations models this situation?
1) D+Q=4.80
.10D +.25Q = 30
2) D+Q=30
.10D +.25Q = 4.80
3) D+Q=30
.25D +.10Q = 4.80
4) D+Q = 4.80
.25D +. 10Q = 30

Answer 1

2) D+Q=30

0.10D+0.25Q=4.80

Answer 2

The correct system of equations is option 2: D+Q=30 and .10D +.25Q = 4.80.

Here's how we know this:

- We are given the total number of coins, both dimes (D) and quarters (Q), that Lizzy has is 30. Hence, our first equation is D + Q = 30.

- The second piece of information we are given is the total value of all coins Lizzy has which is $4.80. Given that Dimes are worth $0.10 and Quarters are worth $0.25. So, the second equation is 0.10D + 0.25Q = 4.80.

Together, this gives us the system of equations: D+Q=30 and 0.10D + 0.25Q = 4.80.