Question

Insert the values given in the problem then scale up or down to find the missing value

Answer 1

Given the statements in the image, 2% of the fans implies that 2/100 of the fans in attendance equals to 120 teenagers. i.e,

`(2)/(100)\text{ of fans }=120`

Let the total number of fans equal to x. We have the following ratio:

`(2)/(100)=(120)/(x)`

To get x by scaling up our ratios, we multiply both numerator and denominator by a common factor of 60 to have:

It can be seen that:

`\begin{gathered} 2*60=120 \\ 100*60=x \\ 6000=x \\ x=6000 \end{gathered}`

Hence, the total number of people at the stadium is 6000.