PROBLEM SOLVING You are shopping for a video game system. A table shows store, cost to store, and markup. The store, cost of store, and markup are as follows. A, 162 dollars, 40 percent; B, 155 dollars, 30 percent; C, 160 dollars, 25 percent. a. At which store should you buy the system? Store A Store B Store C Question 2 b. Store A has a weekend sale. To the nearest hundredth of a percent, what discount must Store A offer for you to buy the system there? Store A must offer at least a % discount.

11.82%

Step-by-step explanation:

We are given that

Cost to store A=4162

Cost to store=$155

Cost to store C=$160

Markup for store A=40%

Markup for store B=30%

Markup for store C=25%

Markup price=Cost price\times (100+markup)

Markup price for store A=$226.80

Markup price for store B==$201.50

Markup price for store C=$200

So, the best deal is store C.

If we purchased from  store A then the price should be less than store C.

It means the price of store A should be less than $200 that is $199.99.

Discount=226.80-199.99=$26.81

Discount %=

Hence, the store A  must offer discount 11.82% to buy the system there.

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simplify your answer but adding/subtracting like terms