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 thirty-five dollars and ninety-nine cents. Julia wants to buy a jersey for fifty-nine dollars and ninety-nine cents. Julia suggests that they buy two jerseys together and each of them pay half of the total cost. Billy says that Julia will save more money than he will if they follow her suggestion. Is Billy correct? How much will each save.

Respuesta :

frika

Answer:

Billy is correct. Billy will not save money at all. He will lose [tex]\$38.99-\$35.99=\$3[/tex] and Julia will save [tex]\$59.99-\$38.99=\$21.[/tex]

Step-by-step explanation:

Billy wants to buy a jersey for $35.99 and Julia wants to buy a jersey for $59.99. The total cost is

[tex]\$35.99+\$59.99=\$95,98.[/tex]

If you buy one jersey at the regular price, the second jersey is half price and you must pay full price for the more expensive jersey, then they will pay

[tex]\dfrac{1}{2} \$35.99+\$59.99=\$77.985.[/tex]

Julia suggests that they buy two jerseys together and each of them pay half of the total cost, then each of them pays

[tex]\dfrac{1}{2}\$77.985=\$38.9925\approx \$38.99.[/tex]

Therefore,

Billy will not save money at all. He will lose [tex]\$38.99-\$35.99=\$3[/tex] and Julia will save [tex]\$59.99-\$38.99=\$21.[/tex]