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

If cost of one French silk cheesecake is
`\$x` then cost of one chocolate marble cheesecake is
`(\$358-\$8x)/(7)`

If cost of one chocolate marble cheesecake is
`\$ y` then cost of one French silk cheesecake is
`(\$358-\$7x)/(8)`

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 =
`(\$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 =
`(\$358-\$7x)/(8)`