Question

At a hockey game, a vender sold a combined total of 104 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold. ​

Answer 1

You have to set up a system of equations

x+y=104
3x-y=104

Sodas = 78
Hotdogs = 26

Answer 2

If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to form equation?

The total number of hot dogs and sodas sold is 104 and the number of sodas sold was 3 times the number of hot dogs sold.

We have to form an equation first.

let the number of hot dogs sold be x.

Number of sodas will be 3x.

According to question :

x+3x=104

4x=104

x=26

Put the value of x in 3x to get the number of sodas sold.

=3x

=3*26

=78

Hence If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.

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