Question

A movie store rental rented 3 times as many DVDs as videos. DVDs rent for $5 a day and videos rent for $3 a day. If the total rental income for a weekend was $2,160, how many DVDs and videos did the store rent?

Answer 1

To determine the number of DVDs and videos rented, set up a system of equations using the given rental prices and total income. Solve for x, which represents videos rented, to find that the store rented 120 videos and 360 DVDs in total.

Step-by-step explanation:

The question involves finding the number of DVDs and videos rented from a movie store given the rental prices and total rental income. We can set up a system of equations to solve for the number of DVDs and videos. Let x represent the number of videos rented and 3x represent the number of DVDs rented. Since the rental prices for DVDs and videos are $5 and $3 respectively, our equations based on the total rental income are:

• 5(3x) + 3(x) = 2160

Solving for x gives us the number of videos rented and multiplying x by 3 gives us the number of DVDs rented. To solve the equation, we combine like terms:

15x + 3x = 2160

18x = 2160

x = 2160 / 18

x = 120

Therefore, the store rented 120 videos and 360 DVDs for the weekend.