Answer:
If cost of one French silk cheesecake is
then cost of one chocolate marble cheesecake is ![\frac{\$358-\$8x}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%24358-%5C%248x%7D%7B7%7D)
If cost of one chocolate marble cheesecake is
then cost of one French silk cheesecake is ![\frac{\$358-\$7x}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%24358-%5C%247x%7D%7B8%7D)
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](https://tex.z-dn.net/?f=%5C%24358)
To find:
cost of one French silk cheesecakes and one chocolate marble cheesecake
Solution:
If cost of one French silk cheesecake is ![\$x](https://tex.z-dn.net/?f=%5C%24x)
Total cost of 8 French silk cheesecakes = ![\$8x](https://tex.z-dn.net/?f=%5C%248x)
So, total cost of 7 chocolate marble cheesecakes = ![\$358-\$8x](https://tex.z-dn.net/?f=%5C%24358-%5C%248x)
So, cost of one chocolate marble cheesecake = ![\frac{\$358-\$8x}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%24358-%5C%248x%7D%7B7%7D)
Similarly,
If cost of one chocolate marble cheesecake is ![\$ y](https://tex.z-dn.net/?f=%5C%24%20y)
Total cost of 7 French silk cheesecakes = ![\$7x](https://tex.z-dn.net/?f=%5C%247x)
So, total cost of 8 French silk cheesecakes = ![\$358-\$7x](https://tex.z-dn.net/?f=%5C%24358-%5C%247x)
So, cost of one French silk cheesecake = ![\frac{\$358-\$7x}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%24358-%5C%247x%7D%7B8%7D)