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?

A. q+d=12
B. 10q+25d=195
C. 0.25q+0.10d=1.95
D. q⋅d=12

Answer 1

The system that models the given information is 0.25q+0.10d=1.95. In this system, q represents the number of quarters and d represents the number of dimes.

Step-by-step explanation:

The system that models the given information is C. 0.25q+0.10d=1.95. In this system, q represents the number of quarters and d represents the number of dimes. The equation represents the total value of the coins, with 0.25q representing the value of the quarters (since each quarter is worth $0.25) and 0.10d representing the value of the dimes (since each dime is worth $0.10). The equation is set equal to $1.95, which is the price of the loaf of bread.