Answer:
60 hot dogs and 180 soda
Step-by-step explanation:
Soda was sold 3 times the number of hot dogs, and there were 240 in total.
So the equation would be:
3x + x = 240
3x being the number of soda and x being the number of hot dogs which like i sad earlier adds up to 240.
3x + x = 240
4x = 240
x= 60
60 being the amount of hot dogs and 3 time of soda would be 180 and adding them both up would be 240
You can use substitute or placeholder symbol which is also called variable to form a mathematical equation.
The number of sodas is 180
The number of hot-dogs is 60
When some quantity or value is not known, you can use a symbol to represent that.
For given case, since the number of soda is 3 times number of hot dogs, thus we can assume that number of hot dogs be [tex]x[/tex].
Then we have:
[tex]\text{Number of sodas} = 3 \times x = 3x \: \: (\text{written in short})\\\\\text{Total items} = \text{Number of sodas + Number of hot dogs}\\\\240 = 3x + x = 4 \times x = 4x\\240 = 4 \times x\\\\\text{Dividing by 4 on both the sides}\\\\\dfrac{240}{4} = \dfrac{4 \times x}{4}\\\\60 = x\\\\x= 60[/tex]
Thus, number of hotdogs = x = 60
Number of sodas = 3 times x = 3 times 60 = 180
You can check that they both sum up to 240 and that number of sodas is three times the number of hot dogs.
Thus,
The number of sodas is 180
The number of hot-dogs is 60
Learn more about variables here:
https://brainly.com/question/967776
