Question

question
at a particular restaurant, each mini hotdog has 90 calories and each pizza roll has 50 calories. a combination meal with pizza rolls and mini hotdogs is shown to have 860 total calories and 6 more pizza rolls than mini hotdogs. write a system of equations that could be used to determine the number of mini hotdogs in the combination meal and the number of pizza rolls in the combination meal. define the variables that you use to write the system.
answer attempt 1 out of 2
let
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Explanation:

Step1: Define variables

Let \( x \) be the number of mini hotdogs, and \( y \) be the number of pizza rolls.

Step2: Set up the first equation (quantity relationship)

We know there are 6 more pizza rolls than mini hotdogs, so \( y = x + 6 \).

Step3: Set up the second equation (calorie relationship)

Each mini hotdog has 90 calories, each pizza roll has 50 calories, and total calories are 860. So \( 90x + 50y = 860 \).

Answer:

Let \( x \) = number of mini hotdogs, \( y \) = number of pizza rolls. The system of equations is:
\[

$$\begin{cases} y = x + 6 \\ 90x + 50y = 860 \end{cases}$$

\]