Answer:
To determine the maximum number of video games Leah can buy with the remaining money, we need to first calculate how much money she has left after buying the clothes and shoes.
Amount spent on clothes and shoes = $345
Amount left to spend = $500 - $345 = $155
Next, we need to determine the cost of each video game, including tax. If the sale price of each video game is $20, including tax, then we can assume that the actual price of each game before tax is less than $20. Let's assume that the actual price before tax is x. Then, if tax is added at a rate of t (where t is a decimal), the total price of the game including tax is:
Total price = x + t*x = x(1+t)
If the total price is $20, we can solve for x:
x(1+t) = $20
x = $20/(1+t)
We don't know the tax rate, but we can assume that it is a percentage of the actual price, and therefore less than 100%. Let's assume a tax rate of 10%, or t = 0.1. Then:
x = $20/(1+0.1) = $18.18
So each game costs $18.18 before tax.
Now we can calculate how many games Leah can buy with her remaining money:
Number of games = Amount left to spend / (Price per game + Tax per game)
= $155 / ($18.18 + 0.1*$18.18)
= $155 / $19.99
≈ 7.75
Since Leah cannot buy a fraction of a game, she can buy a maximum of 7 video games with the remaining money.
Explanation:
hope this helps you