Question

Petra has $7.75 in quarters and dimes. Which relation models this relation?

a) 0.25 q + 0.10d = 7.75
b) 0.10 q + 0.25d = 7.75
c) 0.25 q + 0.25d = 7.75
d) 0.10 q + 0.10d = 7.75
e) 0.50 q +0.25d = 7.75

Answer 1

The correct relation modeling Petra's total of $7.75 in quarters and dimes is 0.25q + 0.10d = 7.75.

Step-by-step explanation:

The relation that models Petra having $7.75 in quarters and dimes is represented by the equation where the value of each quarter is $0.25 and each dime is $0.10.

Therefore, the correct relation is 0.25q + 0.10d = 7.75, where q stands for the number of quarters and d stands for the number of dimes.

The correct relation modeling Petra's total of $7.75 in quarters and dimes is 0.25q + 0.10d = 7.75.

Let's represent the number of quarters as

q and the number of dimes as

d. The total value of quarters is

0.25×q dollars, and the total value of dimes is

0.10×d dollars. The sum of these values should equal Petra's total amount, which is $7.75. Therefore, the relation can be modeled as:

This equation represents the relationship between the number of quarters and dimes, considering their respective values, to achieve a total of $7.75.