Set up a proportion, by creating a ratio of students to adults and solve for the unknown quantity.
2/3 = s/490
Cross multiply, multiplying the numerator/top number in the first fraction/ratio by the denominator of the second fraction/ratio.
2 • 490 = 980
Then cross multiply again, multiplying the numerator/top number in the second fraction/ratio by the denominator/bottom number in the first fraction/ratio.
S • 3 = 3s
Then, solve for the variable (S), by dividing both sides of the equation by 3.
3s/3 = 980/3
S = 327
Because student tickets cost $2 each, divide the solution by 2 to get the amount of student tickets sold.
327/2 = 164
So, 164 student tickets were sold.
