Question

Shreya and Ted are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes and chocolate marble cheesecakes. Shreya sold 8 French silk cheesecakes and 7 chocolate marble cheesecakes for a total of $358. What is the cost each of one French silk cheesecakes and one chocolate marble cheesecake ?

Answer 1

Answer:

If cost of one French silk cheesecake is $\ x$ then cost of one chocolate marble cheesecake is $\frac{\ 358-\ 8x}{7}$

If cost of one chocolate marble cheesecake is $\ y$ then cost of one French silk cheesecake is $\frac{\ 358-\ 7x}{8}$

Step-by-step explanation:

Given:

Number of French silk cheesecakes sold = 8

Number of chocolate marble cheesecakes sold = 7

Total cost of 8 French silk cheesecakes and 7 chocolate marble cheesecakes = $\ 358$

To find:

cost of one French silk cheesecakes and one chocolate marble cheesecake

Solution:

If cost of one French silk cheesecake is $\ x$

Total cost of 8 French silk cheesecakes = $\ 8x$

So, total cost of 7 chocolate marble cheesecakes = $\ 358-\ 8x$

So, cost of one chocolate marble cheesecake = $\frac{\ 358-\ 8x}{7}$

Similarly,

If cost of one chocolate marble cheesecake is $\ y$

Total cost of 7 French silk cheesecakes = $\ 7x$

So, total cost of 8 French silk cheesecakes = $\ 358-\ 7x$

So, cost of one French silk cheesecake = $\frac{\ 358-\ 7x}{8}$