Question

(PLEASE HELP QUICKLY) At a particular restaurant, each pizza roll has 55 calories and each mini hot dog has 70 calories. A combination meal with pizza rolls and mini hot dogs is shown to have 910 total calories and 12 more pizza rolls than mini hot dogs. Determine the number of pizza rolls in the combination meal and the number of mini hot dogs in the combination meal.

There are____ pizza rolls and ___ mini hot dogs in the combination meal.

Answer 1

There are 14 pizza rolls and 2 mini hot dogs in the combination meal.

Explanation:

From the question, we have the following parameters

Pizza roll = 55 calories each

Mini hotdog = 70 calories each

Combination meal = 910 calories in total

Let the pizza roll be x and the mini hotdog be y

So, we have

55x + 70y = 910

x = 12 + y

Make x the subject in x = 12 + y

x = 12 + y

Substitute x = 12 + y in 55x + 70y = 910

55(12 + y) + 70y = 910

Evaluate

660 + 55y + 70y = 910

So, we have

125y = 250

This gives

y = 2

Recall that

x = 12 + y

So, we have

x = 12 + 2

x = 14

Hence, there are 14 pizza rolls and 2 mini hot dogs