The system of equations is then: 70x + 60y = 1140 (total calories),y = 2x (twice as many mini hotdogs as pizza rolls)
Here's a system of equations that could be used to determine the number of pizza rolls in the combination meal and the number of mini hotdogs in the combination meal:
Let:
x be the number of pizza rolls
y be the number of mini hotdogs
The system of equations is then:
70x + 60y = 1140 (total calories)
y = 2x (twice as many mini hotdogs as pizza rolls)
We can solve for x and y using substitution or elimination. For example, using substitution, you can solve the second equation for y and substitute that value into the first equation.
Here's how to solve the system of equations using substitution:
1. Solve the second equation for y: y = 2x
2. Substitute this expression for y in the first equation: 70x + 60(2x) = 1140
3. Simplify and solve for x: 70x + 120x = 1140
4. 190x = 1140
5. x = 6
Now that you know x = 6, you can substitute that value back into the second equation to solve for y:
y = 2(6)
y = 12
Therefore, there were 6 pizza rolls and 12 mini hotdogs in the combination meal.