Billy and Julia go to the Sportarama store to buy baseball jerseys.The store is having a sale.If you buy one jersey at the regular price,the second jersey is half price. You must pay full price for the more expensive jersey.Billy wants to buy a jersey for $30.50.Julia wants to buy a jersey for $50.00. Julia suggests that you buy the two jerseys together and each of them pay half of the total price.Billy says that Julia will save more money than he will if they follow her suggestion.Is Billy correct?Show all you mathematical thinking. Pls help me with this:)
To determine if Billy is correct, we need to compare the amount of money saved by each person under both scenarios: buying the jerseys separately and each paying for their own, or buying the jerseys together and splitting the cost evenly.
If Billy buys the $30.50 jersey at regular price, the second jersey (priced at $50.00) would be half price, which is $25.00. Therefore, Billy's total cost for the two jerseys when purchased separately would be $30.50 + $25.00 = $55.50.
If Julia buys the $50.00 jersey at regular price, the second jersey (priced at $30.50) would be half price, which is $15.25. Therefore, Julia's total cost for the two jerseys when purchased separately would be $50.00 + $15.25 = $65.25.
Billy suggests that they buy the jerseys together and split the total cost evenly. Therefore, each person would pay half of the total cost. The cost of the two jerseys together is $30.50 + $50.00 = $80.50. Thus, each person would pay $80.50 / 2 = $40.25.
To determine who saves more money, we need to compare the savings for each scenario. In the separate scenario, Billy saved $55.50 - ($30.50 + $25.00) = $0.00, as he is not saving any money. In the together scenario, Billy saved $55.50 - $40.25 = $15.25.
In the separate scenario, Julia saved $65.25 - ($50.00 + $15.25) = $0.00, as she is also not saving any money. In the together scenario, Julia saved $65.25 - $40.25 = $25.00.
Therefore, Julia would save more money ($25.00) by following her suggestion, compared to Billy who would save only $15.25. Thus, Billy is incorrect.