Answer: adults = 79
children = 158
student = 46
Explanation:
Let a = adults
Let c = children
Let s = student
From the information given,
a + c + s = 283 ....... i
c/a = 2, c = 2a ....... ii
5c + 7s + 12a = 2060 ...... iii
Put the value of c = 2a into equation i
a + c + s = 283
a + 2a + s = 283
3a + s = 283
s = 283 - 3a
Note that c = 2a
From equation iii
5c + 7s + 12a = 2060
5(2a) + 7(283 - 3a) + 12a = 2060
10a + 1981 - 21a + 12a = 2060
10a + 12a - 21a = 2060 - 1981
a = 79
Note c = 2a
c = 2 × 79 = 158
Since a + c + s = 283
79 + 158 + s = 283
s = 283 - 237
s = 46
adults = 79
children = 158
student = 46