Question

During a special sale, all video games cost $26 and all movies cost $14. Derrick plans to spend some or all of his $220 in birthday money on these movies and video games. Let "x" represet the number of games Derrick can buy and "y" represent the number of movies he can buy. Write the inequality that describes this situation in standard form.

Answer 1

`13x+7y\leq 110`

Explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of
`x` video games + cost of
`y` movies
`\leq` 220

Therefore, the inequality is
`26x+14y\leq 220`

Divide this inequality by 2

`13x+7y\leq 110`