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Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?
- a)120 gm
- b)180 gm
- c)300 gm
- d)240 gm
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Aruna cut a cake into two halves and cuts one half into smaller pieces...
Seven pieces consist of 6 smaller equal pieces and one half cake piece.
Weight of each small piece = 20 gm
So, total weight of the cake = (20×6) = 120gm.
If one half is 120 gm, then so is the other. Therefore the total weight of the cake is 120*2= 240 gm.
Weight of each small piece = 20 gm
So, total weight of the cake = (20×6) = 120gm.
If one half is 120 gm, then so is the other. Therefore the total weight of the cake is 120*2= 240 gm.
Most Upvoted Answer
Aruna cut a cake into two halves and cuts one half into smaller pieces...
Given:
- Aruna cut a cake into two halves
- One half is cut into equal-sized pieces of 20 grams each
- She has a total of 7 pieces
To find:
- Weight of the original cake
Solution:
- Aruna cut the cake into two halves, so the weight of each half is equal. Let's assume the weight of one half is 'x'.
- She cut one half into smaller pieces of equal size, and each piece is 20 grams. So the number of pieces in one half is: number of pieces = weight of half / weight of each piece = x / 20.
- Aruna has a total of 7 pieces, so the number of pieces in the other half is: number of pieces = 7 - x/20.
- The total weight of the cake is the sum of the weight of both halves: total weight = x + 20(7 - x/20) = x + 140 - x = 140 grams.
Therefore, the weight of the original cake was 140 grams.
Answer: (d) 240 gm
- Aruna cut a cake into two halves
- One half is cut into equal-sized pieces of 20 grams each
- She has a total of 7 pieces
To find:
- Weight of the original cake
Solution:
- Aruna cut the cake into two halves, so the weight of each half is equal. Let's assume the weight of one half is 'x'.
- She cut one half into smaller pieces of equal size, and each piece is 20 grams. So the number of pieces in one half is: number of pieces = weight of half / weight of each piece = x / 20.
- Aruna has a total of 7 pieces, so the number of pieces in the other half is: number of pieces = 7 - x/20.
- The total weight of the cake is the sum of the weight of both halves: total weight = x + 20(7 - x/20) = x + 140 - x = 140 grams.
Therefore, the weight of the original cake was 140 grams.
Answer: (d) 240 gm
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Community Answer
Aruna cut a cake into two halves and cuts one half into smaller pieces...
7 pieces were there in total which means that 6 pieces + 1 piece.
6 pieces of 20 grams each. Therefore 6×20grams=120grams
120 grams is the half of the weight of the cake. So now multiply the weight of half of the cake with 2
Therefore 120grams×2=240grams.
Therefore the correct option is 240 grams that is ‘option d’.
Hope you understood.
Thanks for reading
Please upvote if the answer is correct and reply for doubts or errors in answer.
Soukarsha Bhadra
Thank you once again.
6 pieces of 20 grams each. Therefore 6×20grams=120grams
120 grams is the half of the weight of the cake. So now multiply the weight of half of the cake with 2
Therefore 120grams×2=240grams.
Therefore the correct option is 240 grams that is ‘option d’.
Hope you understood.
Thanks for reading
Please upvote if the answer is correct and reply for doubts or errors in answer.
Soukarsha Bhadra
Thank you once again.
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Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?a)120 gmb)180 gmc)300 gmd)240 gmCorrect answer is option 'D'. Can you explain this answer?
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