you pay $34 to rent seven movies. If new movies are $5 and used one's are $4 how many of each did you get?

Answer 1

Hi Landon,

Step 1: Create Let Statements.

Since we know the total number of movies is 7, we can create the following statements:

Let the number of new movies= x

Let the number of old movies= 7-x

Step 2: Create an equation.

We know that $34 is the total paid. Therefore we can say:

$34=(cost of new)(number of new) + (cost of old)(number of old)

34= 5(x) + 4(7-x) Substitute

34=5x+ 28-4x Distributive property

34= 1x+28 Combine Like Terms

34-28=x Subtract from both sides

6=x

Step Three: Plug into our Let Statements.

Let the number of new movies= x=6

Let the number of old movies= 7-x=7-6=1

∴We got 6 new movies and 1 used movie.

Best,

Starlyte