S is having some colourful sea shells. She gave one third of these shells and 14 more besides to P. P gave one third of these shells and 11 more besides to Q: Q gave one third of these shells and one more besides to her friend R. If R got 14 shells from then select the number of shells S originally has.
Answers
Answer:
12
Step-by-step explanation:
Given : Manju had a chocolate. She gave one- fourth of it to Raji, one-third to Sugatha and one-sixth to Sheela. She ate the remaining part.
To find : How many pieces of chocolate did each get?
Solution :
Let the complete chocolate Manju has be '1'.
She gave one- fourth of it to Raji i.e. \frac{1}{4}41
She gave one-third to Sugatha i.e. \frac{1}{3}31
She gave one-sixth to Sheela i.e. \frac{1}{6}61
First we take a common denominator of all three fraction i.e. 12.
So, Raji would have \frac{3}{12}123 of the chocolate bar.
Sugatha would have \frac{4}{12}124 of the chocolate bar.
Sheela would have \frac{2}{12}122 of the chocolate bar.
Manju ate the remaining,
R=\frac{(12-3-4-2)}{12}=\frac{3}{12}=\frac{1}{4}R=12(12−3−4−2)=123=41
Therefore, Total number of pieces are 12.