Question
Akhil on his birthday distributed on an average 15
toffees per student. If on the arrival of the teacher and the headmaster to whom Akhil gave 20 and 28 toffees respectively, the average toffee distributed per head increases to 18, then what is the number of students among whom the toffees were distributed?Solution
Let’s assume that initial number of students be x. ∴ Number of toffees given to x students = 15x After the arrival of teacher and headmaster, total toffees distributed = 15x + 20 + 28 = 15x + 48 Now, the average becomes 18, ∴ 15x + 48 = 18 × (x + 2) ⇒ 15x + 48 = 18x + 36 ⇒ x = 4 ∴ The number of students among whom the toffees were distributed is 4.
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