Rashmi baked a cake Ruhi ate 1/3 of cake Rohit ate 1/4 of remaining cake After that ritika ate 1/2 of remaining cake how much of original cake was left
PLEASE BE SERIOUS.
Answers
Step-by-step explanation:
Given :-
Rashmi baked a cake Ruhi ate 1/3 of cake Rohit ate 1/4 of remaining cake After that ritika ate 1/2 of remaining cake.
To find :-
How much of original cake was left ?
Solution :-
Let the amount of the cake baked by Rashmi be X
Part of the cake eaten by Ruhi
= 1/3 of the cake
=> 1/3 of X
=> (1/3)×X
=> X/3
Part of the cake eaten by Ruhi = X/3
So, Remaining cake
=> X-(X/3)
=> (3X-X)/3
=> 2X/3
Remaining cake = 2X/3
Part of the cake eaten by Rohith
= 1/4th of the remaining cake
= 1/4 of 2X/3
=>(1/4)×(2X/3)
=> (1×2X)/(4×3)
=> 2X/12
=> X/6
Part of the cake eaten by Rohith = X/6
Remaining Cake
= (2X/3)-(X/6)
LCM of 3 and 6 = 6
= [(2X×2)-(X×1)]/6
=(4X-X)/6
= 3X/6
Remaining cake = 3X/6
Part of the cake eaten by Ritika
= 1/2 of the remaining cake
= (1/2) of (3X/6)
= (1/2)×(3X/6)
= (1×3X)/(2×6)
= 3X/12
= X/4
Part of the cake eaten by Ritika = X/4
Remaining cake
= (3X/6)-(X/4)
LCM of 6 and 4 = 12
= [(3X×2)-(X×3)]/12
= (6X-3X)/12
= 3X/12
= X/4
= (1/4)×X
= 1/4th of the original cake
Answer:-
The remaining cake after eating all is 1/4th of the cake