English | Español

## Problema Solution

Lesley has a gift card worth \$500 for a local entertainment store. Movies cost \$20 each and newly released video games cost \$50 each. In order to use the gift card, Lesley must purchase at least eleven items. Which is a combination of movies and newly released video games that Lesley could purchase using his gift card?

## Answer provided by our tutors

let the number of movies = m and the number of games = g

set up 2 inequalities:

500 <= 20m + 50g

m+g > 11

solve for m in the second

m > 11-g

substitute this into the first

500 <= 20(11-g) + 50g

500 <= 220-20g+50g

500 <=220 + 30g

280 <= 30g

9.33333 <=g so she can buy less than or equal to 9 games.

a possible combination would be 8 games and 11-8, or 3 movies, which would cost her the following:

20(3) + 50(8) = \$60 + \$400 = \$460

*If you need more explanation feel free to message me :)

 ← Previous Problem Next Problem →

# Let our math solver do your algebra problems step-by-step!

Online Math Solver

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg: