alex has 84 quarters and nickels worth a total of $17.80. which equation can be used to find q, the number…

alex has 84 quarters and nickels worth a total of $17.80. which equation can be used to find q, the number of quarters alex has? 0.25q + 0.05(q - 84) = 17.80 0.05q + 0.25(84 - q) = 17.80 0.25(q - 84) + 0.05q = 17.80 0.05(84 - q) + 0.25q = 17.80

alex has 84 quarters and nickels worth a total of $17.80. which equation can be used to find q, the number of quarters alex has? 0.25q + 0.05(q - 84) = 17.80 0.05q + 0.25(84 - q) = 17.80 0.25(q - 84) + 0.05q = 17.80 0.05(84 - q) + 0.25q = 17.80

Answer

Explanation:

Step1: Define the number of nickels

Let $q$ be the number of quarters. The total number of quarters and nickels is 84, so the number of nickels is $84 - q$.

Step2: Calculate the value of quarters and nickels

A quarter is worth $0.25$ dollars and a nickel is worth $0.05$ dollars. The total value of quarters is $0.25q$ dollars and the total value of nickels is $0.05(84 - q)$ dollars.

Step3: Set up the equation

The total value of quarters and nickels is $17.80$ dollars. So the equation is $0.05(84 - q)+0.25q = 17.80$.

Answer:

D. $0.05(84 - q)+0.25q = 17.80$