Liliana has a gift card with a $150 balance. She buys several video games that cost $35 each. After the purchases, her gift card balance is $45

In order to find out the number of video games Liliana brought after saving $45 out of a gift card worth $150,we simply deduct $45 from the total value of the gift card and divide the result by the cost of one video game.

= ($150 - $45)/$35
= $105/$35
= 3

thus,Lil brought 3 video games.

Answer Link

msm555 msm555 · Answer 2 · 2024-01-20T16:05:50+01:00

Answer:

Equation: [tex]150 - 35x = 45[/tex]

3 video games

Step-by-step explanation:

Let [tex]x[/tex] be the number of video games Liliana buys. Each video game costs $35.

The total cost of the video games is given by the product of the cost per game and the number of games:

Total cost = [tex]35x[/tex]

Liliana starts with a gift card balance of $150, and after the purchases, her balance is $45.

We can set up an equation to represent this:

Starting balance - Total cost = Remaining balance

[tex]150 - 35x = 45[/tex]

Add 35x on both sides:

[tex]150 - 35x +35x= 45+35x [/tex]

[tex] 150 = 45+35x [/tex]

Subtract 45 on both sides:

[tex] 150-45 = 45+35x-45 [/tex]

[tex] 105 = 35 x [/tex]

[tex]35x = 105[/tex]

isolate x.

[tex]x = \dfrac{105}{35}[/tex]

[tex]x = 3[/tex]

So, Liliana buys 3 video games.