3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $50 each. In order to use the gift card, Lonnte must purchase

at least thirteen items. Which is a combination of movies and newly released video games that Lonnie could purchase using his gift card? (2 points)

6 movies and 4 video games

14 movie and 7 video games

O O O O

2 movies and 10 video games

8 movies and 6 video games

Respuesta :

Answer:

8 movies and 6 video games

Step-by-step explanation:

Given

[tex]Gift\ Card = \$600[/tex]

[tex]Movies =\ $20[/tex]

[tex]Video\ Game = \$50[/tex]

[tex]Minimum\ Items = 13[/tex]

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 2: 14 movies and 7 video games

[tex]Cost = 14 * \$20 + 7 * \$50[/tex]

[tex]Cost = \$280 + \$350[/tex]

[tex]Cost = \$630[/tex]

This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.

Option 3: 2 movies and 10 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 4: 8 movies and 6 video games

[tex]Cost = 8 * \$20 + 6 * \$50[/tex]

[tex]Cost = \$160 + \$300[/tex]

[tex]Cost = \$460[/tex]

Hence, the correct option is 8 movies and 6 video games