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At a particular restaurant each mozzarella stick has 90 cal in each pizza roll has 80 cal. A combination meal with the mozzarella sticks and the pizza rolls is showing to have 1470 total calories and five more mozzarella sticks and pizza rolls. Determine the number of mozzarella sticks in the combination meal and the number of pizza rolls in the combination meal

Respuesta :

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:

[tex]90x + 80y = 1470[/tex]

There are five more mozzarella sticks than pizza roll.

Thus, we can write the equation:

[tex]x = y + 5\\x-y = 5[/tex]

Solving the two equations, we get,

[tex]90x+80y+80x-80y = 1470 + 400\\170x = 1870\\x = 11\\y = 11-5 = 6[/tex]

Thus, the meal consist 11 mozzarella sticks and 6 pizza rolls.

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