Five sisters bought a present for their mother. They received a 10% discount on the original price of the gift. After the discount was taken, each sister paid $5.40. What was the original price of the gift?

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Answer:

$30 is the original price.

Step-by-step explanation:

Let x be the original price of the gift.  The sisters got a 10% discount, so the price paid by them is 0.90x.

The five sisters each paid $5.40, so the total they paid was:

5*($5.40) = $27.

This is equal to the 0.90x:  

0.90x = $27

x = $27/0.90

x = $30

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