Question

At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini hotdogs and pizza rolls has a total of 20 mini hotdogs and pizza rolls altogether and contains 1450 calories. Determine the number of mini hotdogs in the combination meal and the number of pizza rolls in the combination meal.

Answer 1

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

Calories in each hotdog = 80 calories

Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

y represent the number of mini pizzas.

According to given statement;

x+y=20     Eqn 1

80x+50y=1450    Eqn 2

Multiplying Eqn 1 by 80

$80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(80x+80y)-(80x+50y)=1600-1450\\80x+80y-80x-50y=150\\30y=150$

Dividing both sides by 30

$\frac{30y}{30}=\frac{150}{30}\\y=5$

Putting y=5 in Eqn 1

$x+5=20\\x=20-5\\x=15$

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

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