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There are 30 pupils in a class. Each boy brings 5 stickers and each girl brings 4 stickers. If all the boys bring 60 more stickers than all the girls, how many boys are there?
- a)10
- b)15
- c)20
- d)25
- e)5
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
There are 30 pupils in a class. Each boy brings 5 stickers and each gi...
Given information:
- Number of pupils in the class = 30
- Stickers brought by each boy = 5
- Stickers brought by each girl = 4
- Total stickers brought by boys = Total stickers brought by girls + 60
Let's assume that there are 'b' boys in the class and 'g' girls in the class.
Total number of stickers brought by boys = 5b
Total number of stickers brought by girls = 4g
According to the given information, we can form the following equations:
5b = 4g + 60 ----(1) (Total stickers brought by boys = Total stickers brought by girls + 60)
b + g = 30 ----(2) (Total number of pupils in the class)
Now, we need to solve these equations to find the value of 'b', which represents the number of boys in the class.
Solving equation (2) for 'g', we get:
g = 30 - b
Substituting this value of 'g' in equation (1), we get:
5b = 4(30 - b) + 60
5b = 120 - 4b + 60
9b = 180
b = 20
Therefore, there are 20 boys in the class, which is option (C).
- Number of pupils in the class = 30
- Stickers brought by each boy = 5
- Stickers brought by each girl = 4
- Total stickers brought by boys = Total stickers brought by girls + 60
Let's assume that there are 'b' boys in the class and 'g' girls in the class.
Total number of stickers brought by boys = 5b
Total number of stickers brought by girls = 4g
According to the given information, we can form the following equations:
5b = 4g + 60 ----(1) (Total stickers brought by boys = Total stickers brought by girls + 60)
b + g = 30 ----(2) (Total number of pupils in the class)
Now, we need to solve these equations to find the value of 'b', which represents the number of boys in the class.
Solving equation (2) for 'g', we get:
g = 30 - b
Substituting this value of 'g' in equation (1), we get:
5b = 4(30 - b) + 60
5b = 120 - 4b + 60
9b = 180
b = 20
Therefore, there are 20 boys in the class, which is option (C).
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There are 30 pupils in a class. Each boy brings 5 stickers and each girl brings 4 stickers. If all the boys bring 60 more stickers than all the girls, how many boys are there?a)10b)15c)20d)25e)5Correct answer is option 'C'. Can you explain this answer?
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