SOLUTION: Antoine looks after children. Every week, he sets aside $ 30 to buy a computer that is priced at $ 325 before taxes. Knowing that the store offers a 20% reduction on the regular

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Question 1173501: Antoine looks after children. Every week, he sets aside $ 30 to buy a computer that is priced at $ 325 before taxes. Knowing that the store offers a 20% reduction on the regular price and that the taxes are 15%,
after how many weeks will Antoine be able to buy his computer?

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The 20% price reduction multiplies the cost by a factor of (100%-20%=80%), or 0.8.

The 15% added tax multiplies the cost by a factor of (100%+15%=115%), or 1.15.

The price with taxes is going to be the original price, multiplied by those two factors:



Setting aside $30 a week for the purchase, the number of weeks required will be 299/30 = 9.97. The answer must of course be rounded up to the next whole number, so 10 weeks.


Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Accounting for the 20% reduction and 15% taxes, Antoine will pay


    (1-0.2)*(1+0.15)*325 = 0.8*1.15*325 = 299 dollar.


Saving $30 per week, he needs   = 10 weeks   (rounded).   ANSWER

Solved and explained.



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