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?
1 answer:
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
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