Question

Lizzy has dimes and quarters that total $4.80. Bearing in mind that each dime D is worth $0.10 and each quarter Q is worth $0.25, write an equation that models the number of dimes and quarters Lizzy has.

Answer 1

An equation representing the number of dimes (D) and quarters (Q) Lizzy has, based on their total value, is 0.10D + 0.25Q = 4.80.

Step-by-step explanation:

To model the amount of dimes (D) and quarters (Q) Lizzy has, we can create an equation based on the total value of the coins. Each dime is worth $0.10 and each quarter is worth $0.25. Hence, the equation representing the total amount of money in terms of dimes and quarters would be:

0.10D + 0.25Q = 4.80

This equation states that the value of the dimes (10 cents multiplied by the number of dimes) plus the value of the quarters (25 cents multiplied by the number of quarters) equals $4.80, which is the total amount of money Lizzy has.