(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

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 .

it is to be noted that an alpha particle is an helium nucleus. so it contains 2 protons 2 neutrons and has a mass number of 4. when alpha decay particles are ejected from the nucleus it gets transformed into an atom which has atomic number less than 2 and a mass number less than 4.

an equation that could represent alpha decay is radium 226 decay of alpha particle forms radon 222.

→