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This question has two parts. First, answer Part A. Then, answer Part B.Part AFill in the blank question.Liz is shopping for a new video game system. The table shows the regular price of the game system at several stores.  Store Cost ($)A 289B 309C 309 For this week only, each store is advertising a different sale.Store A is selling all of their game systems for 15% off the original price.Members of the rewards program at Store B receive 30% off the original price of a game system, but Liz is not currently a member. A membership costs $29.99.Store C is offering $50 off of all game systems priced over $250. Where should Liz purchase her game for the best deal? Part BFill in the blank question.Sales tax is 7.25%. If Liz buys the game system from the store where it costs the least amount, how much will Liz spend altogether? Round to the nearest cent.

Question

This question has two parts. First, answer Part A. Then, answer Part B.Part AFill in the blank question.Liz is shopping for a new video game system. The table shows the regular price of the game system at several stores.  Store Cost ()A289B309C309 Forthisweekonly,eachstoreisadvertisingadifferentsale.StoreA issellingalloftheirgamesystemsfor 15)A 289B 309C 309 For this week only, each store is advertising a different sale.Store A is selling all of their game systems for 15% off the original price.Members of the rewards program at Store B receive 30% off the original price of a game system, but Liz is not currently a member. A membership costs 29.99.Store C is offering 50offofallgamesystemspricedover50 off of all game systems priced over 250. Where should Liz purchase her game for the best deal? Part BFill in the blank question.Sales tax is 7.25%. If Liz buys the game system from the store where it costs the least amount, how much will Liz spend altogether? Round to the nearest cent.

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Solution

Part A:

First, we need to calculate the discounted price at each store.

Store A: The game system is 15% off. So, we calculate 15% of 289,whichis289, which is 43.35. Subtracting this from the original price, the game system at Store A costs 289289 - 43.35 = $245.65.

Store B: Liz is not a member of the rewards program, so she would have to pay the membership fee of 29.99inadditiontothediscountedpriceofthegamesystem.Thegamesystemis3029.99 in addition to the discounted price of the game system. The game system is 30% off, so we calculate 30% of 309, which is 92.70.Subtractingthisfromtheoriginalprice,thegamesystematStoreBcosts92.70. Subtracting this from the original price, the game system at Store B costs 309 - 92.70=92.70 = 216.30. Adding the membership fee, the total cost at Store B is 216.30+216.30 + 29.99 = $246.29.

Store C: The game system is 50off,sothegamesystematStoreCcosts50 off, so the game system at Store C costs 309 - 50=50 = 259.

Comparing the prices at each store, Liz should purchase her game at Store B for the best deal.

Part B:

Sales tax is 7.25%. To find out how much Liz will spend altogether, we need to calculate the sales tax on the price of the game system at Store B and add it to the total cost.

Sales tax = 7.25% of 246.29=246.29 = 17.86.

So, Liz will spend 246.29+246.29 + 17.86 = 264.15altogether.Roundedtothenearestcent,Lizwillspend264.15 altogether. Rounded to the nearest cent, Liz will spend 264.15.

This problem has been solved

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