https://file.aiquickdraw.com/mathbot/file/1727653335025l8ajsj5x.jpg

The problem in the image reads as follows:

> At a particular restaurant, each pizza roll has 55 calories and each mini hotdog has 70 calories. A combination meal with pizza rolls and mini hotdogs is shown to have 910 total calories and 12 more pizza rolls than mini hotdogs. Determine the number of pizza rolls in the combination meal and the number of mini hotdogs in the combination meal.

Let's define:
- \( x \) as the number of mini hotdogs.
- \( x + 12 \) as the number of pizza rolls (since there are 12 more pizza rolls than mini hotdogs).

Now, the total calories of the combination meal can be expressed as:
\[
55(x + 12) + 70x = 910
\]

We will solve this equation for \( x \).The solution to the problem is:

- The number of mini hotdogs in the combination meal is 2.
- The number of pizza rolls in the combination meal is 14.

Would you like further details on how this solution was derived or any other related questions?

Here are 5 related questions to expand your understanding:
1. How can we set up a similar equation for a different number of extra pizza rolls?
2. What if the calorie count for the mini hotdog or pizza roll changed—how would that affect the solution?
3. Can we graph the equation to visualize the relationship between mini hotdogs and pizza rolls?
4. How can we solve this problem using matrices or another method of solving systems of equations?
5. What are other ways to interpret word problems into mathematical equations?

**Tip:** When dealing with word problems, clearly define your variables to simplify setting up the equation.

At a particular restaurant, each pizza roll has 55 calories and each mini hotdog has 70 calories. A combination meal with pizza rolls and mini hotdogs is shown to have 910 total calories and 12 more pizza rolls than mini hotdogs. Determine the number of pizza rolls in the combination meal and the number of mini hotdogs in the combination meal.

Learn how to solve a linear equation involving pizza rolls and mini hotdogs with a detailed solution. A combination meal contains 910 calories, where pizza rolls have 55 calories each, mini hotdogs have 70 calories each, and there are 12 more pizza rolls than mini hotdogs. Suitable for students in Grades 6-8.

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