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CBSE Class 8 Answered

 John had a certain number of cupcakes to deliver in 3 different places. At a bakery, he delivered half of the cakes, then at a school canteen he delivered half of the remaining cupcakes and then delivered half of the remaining cakes at a restaurant. If he is left with 80 cakes, how many cakes did he have initially? *    
Asked by bhanusreevasnthkumar | 25 Jul, 2020, 05:51: PM
answered-by-expert Expert Answer

John had a certain number of cupcakes to deliver in 3 different places. At a bakery, he delivered half of the cakes, then at a school canteen he delivered half of the remaining cupcakes and then delivered half of the remaining cakes at a restaurant. If he is left with 80 cakes, how many cakes did he have initially? 

Total no of cupcakes = x

At Bakery = 1/2 x

At school canteen = 1/2 of remaining 1/2 x cupcakes were delivered = 1/4 x

At restaurant = 1/2 . 1/4 x = 1/8x

Remaining cupcakes = 80

x over 2 plus x over 4 plus x over 8 plus 80 equals x

Take LCM and solve this further, we get

fraction numerator 4 x over denominator 8 end fraction plus fraction numerator 2 x over denominator 8 end fraction plus x over 8 plus 80 equals x
fraction numerator 7 x over denominator 8 end fraction plus 80 equals x
80 equals space x minus fraction numerator 7 x over denominator 8 end fraction
80 equals x over 8
x space equals space 640

So, total cupcakes were 640.
Answered by | 25 Jul, 2020, 08:19: PM

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