Question

At a particular restaurant, each mozzarella stick has 80 calories and each pizza roll has 65 calories. A combination meal with mozzarella sticks and pizza rolls has a total of 17 mozzarella sticks and pizza rolls altogether and contains 1165 calories. Determine the number of mozzarella sticks in the combination meal and the number of pizza rolls in the combination meal.

Answer 1

Answer:the number of mozzarella sticks in the combination meal is 4

the number of pizza rolls in the combination meal is 13

Explanation:

Let x represent the number of mozzarella sticks in the combination meal.

Let y represent the number of pizza rolls in the combination meal.

A combination meal with mozzarella sticks and pizza rolls has a total of 17 mozzarella sticks and pizza rolls. This means that

x + y = 17

At a particular restaurant, each mozzarella stick has 80 calories and each pizza roll has 65 calories. A total of 17 mozzarella sticks and pizza rolls altogether and contains 1165 calories. This means that

80x + 65y = 1165 - - - - - - - - - -1

Substituting x = 17 - y into equation 1, it becomes

80(17 - y) + 65y = 1165

1360 - 80y + 65y = 1165

- 80y + 65y = 1165 - 1360

- 15y = - 195

y = - 195/- 15 = 13

Substituting y = 13 into equation x = 17 - y , it becomes

x = 17 - 13 = 4