Question

Kali and Ryan are selling cheesecakes for a school fundraiser. Customers can buy New York style cheesecakes and apple cheesecakes. Kali sold 12 New York style cheesecakes and 1 apple cheesecake for a total of $79. Ryan sold 14 New York style cheesecakes and 1 apple cheesecake for a total of $91. Find the cost each of one New York style cheesecake and one apple cheesecake.

Answer 1

New York style cheesecake: $6 Apple cheese cake: $7

Explanation:

Ryan and Kali sold the same amount of apple cheesecakes which means the New York cheesecakes differed in amount. Ryan sold 2 more than Kali so the difference in amount would be the cost of 2 New York cheese cakes.

Ryan made $91 and Kali made $79. Since they sold the same amount of apple cheesecakes, we can use their difference in money made to find the cost of 2 New York cheesecakes. So take away 79 from 91 and you get 12. $12 is the price of 2 New York cheesecakes. So take the 12 and divide it by 2. You get 6. $6 is the price of one New York cheesecake.

To find the amount of one apple cheesecake, you just need to multiply the amount of New York cheesecakes Kali sold by the price of 1 New York cheesecake. So 6 multiplied by 12 is equal to 72. Take the money Kali made and take away 72 from it. You get 7. 7 is the cost for one apple cheesecake. $7 for 1 cheesecake.

I hope this helps!