talaangoshtari wrote:Two stores usually charge the same regular price for identical jars of peanut butter. This week, Store A is offering the jars of peanut butter for 10% less than regular price, and Store B is offering 6 jars of peanut butter for the regular price of 5. If 6 jars of peanut butter cost a total of $1.18 less at Store B than at Store A this week, what is the regular price of a jar of peanut butter?
A. $2.15
B. $2.95
C. $3.75
D. $4.05
E. $4.65
Let the regular price of a jar of peanut butter =
5 cents, implying that the cost for 6 jars at the regular price = 6*5 = 30 cents.
Since Store A discounts the price by 10%, the discounted price at Store A = (30 cents) - (10% of 30 cents) = 30-3 = 27 cents.
Since Store B charges for only 5 jars, the discounted price at Store B = the price for 5 jars = 5*5 = 25 cents.
Price difference = 27-25 = 2 cents.
Since the actual price difference is 118 cents -- and 118/2 = 59 -- all of the values above must be increased by a factor of 59.
Thus, the actual regular price must be 59 times the value in blue:
(59)(5) = 295 cents = $2.95.
The correct answer is
B.
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