A store is selling sculptures. The first week, it prices 6 sculptures at $80 each. After each week, if a sculpture is not sold, it will be priced to sell for 0.85 times the previous week's price. The store needs to sell 6 sculptures for a total of at least $270 to make a profit. What is the last week in which all 6 sculptures could be sold so that the store makes a profit?

Question

Mathematics

Chana

25 January, 22:47

A store is selling sculptures. The first week, it prices 6 sculptures at $80 each. After each week, if a sculpture is not sold, it will be priced to sell for 0.85 times the previous week's price. The store needs to sell 6 sculptures for a total of at least $270 to make a profit. What is the last week in which all 6 sculptures could be sold so that the store makes a profit?

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Alaina · Answer 1

80 * 6 = 480 which is the total price for all of the 6 sculptures together if they were bought. You have to mulitply. 85 to 480 because it represents how many weeks the price has gone down.

.480 *.85 = 408

You then mulitiply 40 with. 85 because that's new weeks price.

408 *.85 = 346.8

You keep doing that until you get to, are are close to $270

346.8 *.85 = 294.78

294.78 *.85 = 250.56

So your answer would be the 3rd week