SOLUTION: At 9-Innings Baseball, the original price of a baseball bat is $225.00 and it is on sale for 20% off. At All-American Baseball, the same bat is on sale for 18% off, which is a dif

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: At 9-Innings Baseball, the original price of a baseball bat is $225.00 and it is on sale for 20% off. At All-American Baseball, the same bat is on sale for 18% off, which is a dif      Log On


   

Question 1207817: At 9-Innings Baseball, the original price of a baseball bat is $225.00 and it is on sale for 20% off. At All-American Baseball, the same bat is on sale for 18% off, which is a difference of $10.00 less than the sales price at 9-Innings. What is the original cost of the bat at All-American Baseball?
Answer by ikleyn(53977) About Me  (Show Source):
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At 9-Innings Baseball, the original price of a baseball bat is $225.00 and it is on sale for 20% off.
At All-American Baseball, the same bat is on sale for 18% off, which is highlight%28cross%28a%29%29 highlight%28cross%28difference%29%29 highlight%28cross%28of%29%29 $10.00 less
than the sales price at 9-Innings. What is the original cost of the bat at All-American Baseball?
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        The original text is poor English.
        I fixed it in order for it makes sense.

        Pay attention ! 

                            Step by step



(1)  At 9-Innings Baseball, the sale price of a baseball bat is  (1-0.2)*225 = 0.8*225 = 180 dollars.


(2)  At All-American Baseball, the same bat is on sale for 180 - 10 = 170 dollars after the 18% discount.


(3)  Let x be the original cost of the bat at All-American Baseball.

     Then, according to the problem, we have this relation

          (1-0.18)x = 170  dollars.

     or

          0.82x = 170.


     From this equation,  x =  170%2F0.82 = 207.32  (rounded).


ANSWER.  The original cost of the bat at All-American Baseball is 207.32  dollars.

Solved.