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David cuts a bread into two equal pieces and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If he has seven pieces of the bread all with him, how heavy is 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
David cuts a bread into two equal pieces and cuts one half into smalle...
D) 240 gm.
If she has 7 pieces totally, it means that one of those pieces is the uncut half, and the other half is cut into 6 pieces. Each of those 6 pieces has a weight of 20 gm which totally weighs 6*20= 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
David cuts a bread into two equal pieces and cuts one half into smalle...
Given information:
- David cuts a bread into two equal pieces.
- He cuts one-half of the bread into smaller pieces of equal size, each weighing twenty grams.
- He has a total of seven pieces of bread.
Let's solve the problem step by step:
1. Cutting the bread:
- Initially, David cuts the bread into two equal pieces.
- So, he has two pieces of bread.
2. Cutting one-half into smaller pieces:
- David takes one of the two pieces and cuts it into smaller pieces of equal size.
- Each of the small pieces weighs twenty grams.
- Let's assume that he cuts the piece into 'x' smaller pieces.
- So, the weight of each small piece is twenty grams.
3. Total number of pieces:
- David has two pieces of bread from step 1.
- He also has 'x' small pieces from step 2.
Since he has a total of seven pieces of bread, we can write the equation as follows:
2 + x = 7
To find the value of 'x', we subtract 2 from both sides of the equation:
x = 7 - 2 = 5
So, David has five small pieces.
4. Calculating the weight of the original bread:
- Since each small piece weighs twenty grams, the weight of five small pieces is 5 * 20 = 100 grams.
- The remaining piece after cutting into two halves also weighs 100 grams because it is equal in size to the five small pieces.
- Therefore, the weight of the original bread is 100 grams + 100 grams = 200 grams.
However, none of the answer options provided matches the calculated weight. Thus, the question might have a mistake or incorrect answer options.
- David cuts a bread into two equal pieces.
- He cuts one-half of the bread into smaller pieces of equal size, each weighing twenty grams.
- He has a total of seven pieces of bread.
Let's solve the problem step by step:
1. Cutting the bread:
- Initially, David cuts the bread into two equal pieces.
- So, he has two pieces of bread.
2. Cutting one-half into smaller pieces:
- David takes one of the two pieces and cuts it into smaller pieces of equal size.
- Each of the small pieces weighs twenty grams.
- Let's assume that he cuts the piece into 'x' smaller pieces.
- So, the weight of each small piece is twenty grams.
3. Total number of pieces:
- David has two pieces of bread from step 1.
- He also has 'x' small pieces from step 2.
Since he has a total of seven pieces of bread, we can write the equation as follows:
2 + x = 7
To find the value of 'x', we subtract 2 from both sides of the equation:
x = 7 - 2 = 5
So, David has five small pieces.
4. Calculating the weight of the original bread:
- Since each small piece weighs twenty grams, the weight of five small pieces is 5 * 20 = 100 grams.
- The remaining piece after cutting into two halves also weighs 100 grams because it is equal in size to the five small pieces.
- Therefore, the weight of the original bread is 100 grams + 100 grams = 200 grams.
However, none of the answer options provided matches the calculated weight. Thus, the question might have a mistake or incorrect answer options.
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Community Answer
David cuts a bread into two equal pieces and cuts one half into smalle...
240 mg
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David cuts a bread into two equal pieces and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If he has seven pieces of the bread all with him, how heavy is 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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