Answer:
The meal consist 11 mozzarella sticks and 6 pizza rolls.
Step-by-step explanation:
We are given the following in the question:
Calories in mozzarella stick = 90
Calories in pizza roll = 80
Let x be the number of a mozzarella stick and y be the number of pizza rolls.
Total calories in meal = 1470
Thus, we can write the equation:
![90x + 80y = 1470](https://tex.z-dn.net/?f=90x%20%2B%2080y%20%3D%201470)
There are five more mozzarella sticks than pizza roll.
Thus, we can write the equation:
![x = y + 5\\x-y = 5](https://tex.z-dn.net/?f=x%20%3D%20y%20%2B%205%5C%5Cx-y%20%3D%205)
Solving the two equations, we get,
![90x+80y+80x-80y = 1470 + 400\\170x = 1870\\x = 11\\y = 11-5 = 6](https://tex.z-dn.net/?f=90x%2B80y%2B80x-80y%20%3D%201470%20%2B%20400%5C%5C170x%20%3D%201870%5C%5Cx%20%3D%2011%5C%5Cy%20%3D%2011-5%20%3D%206)
Thus, the meal consist 11 mozzarella sticks and 6 pizza rolls.