Question

the ticket booth at a school play sells 140 adult tickets and 210 student tickets. find the ratio of adults to students write your answer as a fraction in simplest form

Answer 1

The ratio of adult to student starts out being 140/210.

Both of these numbers are divisible by 10 so the first thing that happens is that you divide top and bottom by 10

140 ÷10 = 14

210 ÷10 = 21

14: 2 * 7

21:3 * 7

So both 14 and 21 are divisible by 7

14÷7 = 2

21÷7 = 3

The ratio is 2 / 3

Answer: For every 2 adults there are 3 students.

Answer 2

ratio of adults to students can be written as a fraction

adult tickets / student tickets

140/210 can be simplified to 14/21

14/21 can be simplifed to 2/3