21 chaperones are needed for 420 students.
Step-by-step explanation:
No. of juniors = 148
No. of seniors = 272
Total = 148+272 = 420 students
3 chaperones = 60 students
1 chaperone = [tex]\frac{60}{3}=20\ students[/tex]
Ratio of chaperon to students = 1:20
Let,
x be the number of chaperons for 420 students.
Ration of chaperones to students = x:420
Using proportion
Ratio of chaperones to students :: Ratio of chaperons to students
[tex]1:20::x:420[/tex]
Product of mean = Product of extreme
[tex]20*x=420*1\\20x=420\\[/tex]
Dividing both sides by 20
[tex]\frac{20x}{20}=\frac{420}{20}\\x=21[/tex]
21 chaperones are needed for 420 students.
Keywords: ratio, proportion
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