Question

The ratio of tickets sold to see the incredible musical wicked to tickets sold to see Cats is 11 to 7 if there were 2700 total tickets sold how many tickets were sold for each musical

Answer 1

Use algebra to set up 2 equations.

Assign c as number of tickets for CATS and w for number of tickets of WICKED

c + w = 2700

c / w = 7 / 11

Then solve for one of them in the first equation

c = 2700 - w

Then put this value for c into the 2nd equation

(2700 - w) / w = 7 / 11

Now cross multiply the numerator by denominator of both numerator and denominator pairs

7w = 11 x (2700 - w)
7w = 29700 - 11w

Now solve for w

7w = 26700 - 11w

Add +11w to both sides

18w = 29700

Now divide by 18 on both sides

w = 1650

Then c is the remainder of that ... 2700 - 1650 = 1050

You can also check because 7 / 11 = 1050 / 1650