Answer:
There are 3 mini hotdogs and 6 chicken wings in the combination meal.
Step-by-step explanation:
Variable Definitions:
x=the number of mini hotdogs in the meal
y=the number of chicken wings in the meal
Each mini hotdog has 100 calories, so x mini hot dogs would have 100x100x calories. Each chicken wing has 50 calories, so y chicken wings would have 50y calories. Therefore, the total number of calories 100x+50y equals 600:
100x+50y=600
Since the combination meal has twice as many chicken wings as mini hot dogs, there are more chicken wings, so if we multiply 2 by the number of mini hot dogs, we will get the number of chicken wings, meaning y equals 2x.
y=2x
Write System of Equations:
100x+50y=600
y=2x
Solve for y in each equation:
100x+50y=600
50y=−100x+600
y=−2x+12
The x variable represents the number of mini hotdogs in the meal and the y variable represents the number of chicken wings in the meal. Since the lines intersect at the point (3,6) we can say:
There are 3 mini hotdogs and 6 chicken wings in the combination meal.
