Question

At a particular restaurant, each pizza roll has 60 calories and each mini hotdog has 70 calories. A combination meal with pizza rolls and mini hotdogs has a total of 21 pizza rolls and mini hotdogs altogether and contains 1380 calories. Determine the number of pizza rolls in the combination meal and the number of mini hotdogs in the combination meal.

Answer 1

Answer:

There are 9 pizza rolls and 12 mini hotdogs in the meal.

Step-by-step explanation:

We are given the following in the question.

Let x be the number of pizza rolls sold and y be the number of mini hotdogs in the combination meal.

Total number of items in combination meal = 21

Thus, we can write the equation:

$x + y = 21$

Calorie in a pizza roll = 60

Calorie in a mini hotdog = 70

Total calories = 1380

Thus, we can write the equation:

$60x + 70y = 1380$

Solving the two equations, we get,

$60x + 70y - (60x+60y) = 1380 - 60(21) \\10y = 120\\\Rightarrow y = 12\\\Rightarrow x = 21-12 = 9$

Thus, there are 9 pizza rolls and 12 mini hotdogs in the meal.