Question

The ratio of students wearing sneakers to those wearing boots is 4 to 5. If there are 36 students in the class, and all of them are wearing either sneakers or boots, how many of them are wearing sneakers?

Answer 1

Answer:

16

Step-by-step explanation:

Let's denote:

a: number of students wearing sneakers

b: number of students wearing boots

We have:

a + b = 36

a/b = 4/5 (multiply both sides by b => a = 4b/5)

Substitute a = 4b/5 into a + b = 36

=> 4b/5 + b = 36

=> 4b/5 + 5b/5 = 36

=> 9b/5 = 36

=> b/5 = 4

=> b = 20

=> a = 4b/5 = 4(20)/5 = 16