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Sagot :
Answer: Number of children = 280 , Number of adults = 460.
Number of students = 360
Step-by-step explanation:
Let x= Number of children, y = number of adults.
Number of students = y-100
Given: At a local fair, the admission fees are $1.50 for children, $3 for college students, and $5 for adults.
1.50 x + 3 (y-100) + 5 y =3800 (i)
x+y-100+y= 1300 (ii)
From (iii)
1.50x + 3y -300+5y = 3800
⇒ 1.50x + 8y = 4100 (iii)
From (ii)
x+2y= 1200 (*)
⇒ 4x + 8y = 4800 (iv) [multiply 4 on both sides]
Eliminate (iii) from (iv) , we get
2.5x = 700
⇒ x= 280 [ Divide both sides by 2.5]
Put x= 280 in (*), we get
280+ 2 y= 1200
⇒ 2 y= 920
⇒ y = 460
Hence, Number of children = 280 , Number of adults = 460.
Number of students = 460-100 = 360
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