Question

A girl distributed some sweets on her birthday. Half of the sweets she had, were distributed in the class and three-fourth of the remaining were distributed in the bus. The rest 20 were distributed among her friends living in the neighbourhood. Find the number of sweets she had.

Answer 1

Answer

Let the total numbers of sweet she was having be 'x'

Half of the sweets she had, were distributed in the class .

Sweet distributed in class :

ᐅ $\bf\frac { x } { 2 }$

Hence remaining sweet will be :

ᐅ $\rm x - \frac { x } { 2} = \frac { x } { 2}$

Three-fourth of the remaining were distributed in the bus

Sweet distributed in bus :

ᐅ$\rm \frac { 3 } { 4} ×\frac { x } { 2 } = \frac { 3x } { 8 }$

Hence remaining sweets will be :

ᐅ $\rm \frac { x } { 2} - \frac { 3x } { 8 } = \frac { x } { 8 }$

According to the question 20 sweets are remaining now. So,

ᐅ$\rm \frac { x } { 2 } = 20$

ᐅ x = 40

Thus the total number of sweets she originally having was '40'

Answer 2

Step-by-step explanation:

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