Question

At a particular restaurant, each pizza roll has 65 calories and each chicken wing has 50 calories.

A combination meal with pizza rolls and chicken wings is shown to have 1015 total calories and 5 more pizza rolls than chicken wings. Determine the number of pizza rolls in the combination meal and the number of chicken wings in the combination meal.

Answer 1

The combination meal consists of 11 pizza rolls and 6 chicken wings. We determine this by setting up equations based on the caloric information given (65 calories for each pizza roll and 50 calories for each chicken wing) and the fact that there are 5 more pizza rolls than chicken wings.

Step-by-step explanation:

To find the number of pizza rolls and chicken wings in the combination meal, we'll set up a system of equations based on the information provided. Let's define the following variables:

• x = number of chicken wings
• x + 5 = number of pizza rolls (since there are 5 more pizza rolls than chicken wings)

Each chicken wing has 50 calories, and each pizza roll has 65 calories. The total calorie count of the meal is 1015. We can establish the following equations based on caloric values:

1. 50x + 65(x+5) = 1015

Simplifying this equation:

1. 50x + 65x + 325 = 1015
2. 115x + 325 = 1015
3. 115x = 1015 - 325
4. 115x = 690
5. x = 690 / 115
6. x = 6

Now we know there are 6 chicken wings, and since there are 5 more pizza rolls than chicken wings, we can calculate:

1. x + 5 = 6 + 5
2. x + 5 = 11

Thus, there are 11 pizza rolls and 6 chicken wings in the combination meal.