Question

If the ratio of tourists to locals is 2:7 and there are 70 tourists at an arts festival, how many locals are in attendance?​

Answer 1

2/7 = 70/x

2x = 490

x = 245 locals

Answer 2

245 locals

Explanation:

If the ratio of tourists to locals is 2:7, we can express this ratio as:

2x (for tourists) : 7x (for locals)

Given that there are 70 tourists at the arts festival, you can set up an equation using the fact that there are 2x tourists, which equals 70:

2x = 70

Divide both sides by 2.

`\sf (2x )/(2)=( 70)/(2)`

x = 35

Now that we know the value of x, we can find the number of locals by using the 7x part of the ratio:

7x = 7 × 35 = 245

So, there are 245 locals in attendance at the arts festival.