Question

(4 marks)
A farmer distributed his cabbages as follows: A certain hospital received a quarter of the
total number of bags. A nearby school received half of the remainder. A green grocer
received a third of what the school received. What remained were six bags more than
what the green grocer received. How many bags of cabbages did the farmer have?
(3​

Answer 1

Answer:

Explanation:

Let the farmer had n no of bags of cabbage .

given to hospital = n / 4

given to school = 1/2 x 3n /4

= 3n / 8

given to grocer = 1 / 3 x (3n / 8 )

= n / 8

No of bags distributed

= n / 4 + 3n / 8 + n / 8

= 6n / 8

Remaining bag

= n - 6n / 8

= 2n / 8

According to question

2n / 8 = 6 + n / 8

n / 8 = 6

n = 48 .