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Jerome bought six identical jackets for his to math team.Each jacket was on sale for eight dollars off the original price. The total that he spent on the six jackets was seven dollars more then he would’ve spent on four jackets at the original price. What was the original price

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Answer:

The original cost of 1 jacket is $20.5

Step-by-step explanation:

Let us assume the  original cost price of each jacket = $x

So, the discounted price of each jacket = $( x - 8)

Now,  price of 6 discounted jacket = 6 x ( The price of 1 discounted jacket)

                                                           = 6 (x -8) =  (6x - 48)

And,   price of 4 original jacket = 4 x ( The original price of 1 jacket)

                                                           = 4 (x) = 4x

Now, according to the question:

Cost of 4 original jackets =   Cost of 6 discounted jackets  + 7

⇒ 4x =  (6x - 48) + 7

or, 4x - 6x = - 48 + 7

or, - 2 x  = - 4 1

or, x = 20 . 5

Hence, the original cost of 1 jacket is $20.5