Question

Suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. You have 12 coins, all quarters and dimes. Let q equal the number of quarters and d equal the number of dimes. Which system models the given information?

1) q d = 12
2) q d = 1.95
3) 25q + 10d = 195
4) q + 12 = d

Answer 1

The system that models the given information is 25q + 10d = 195. To solve this system, set up two equations based on the given information: 25q + 10d = 195 and q + d = 12.

Step-by-step explanation:

The system that models the given information is 3) 25q + 10d = 195.

1. To solve this system, we can set up two equations based on the given information:
2. First, we know that the total value of the quarters (25 cents) and dimes (10 cents) is equal to the price of the bread, which is $1.95. So, the equation becomes 25q + 10d = 195.
3. Second, we know that the total number of coins is 12. Since a quarter is worth 25 cents and a dime is worth 10 cents, we can write the equation as q + d = 12.
4. Using these equations, we can solve the system by substitution or elimination to find the values of q and d.