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In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box?
- a)26
- b)28
- c)32
- d)36
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a box of marbles, there are three less white marbles than the red o...
B is the correct option.Explanation:
Number of white marbles = 10
Number of red marbles = 10 + 3 = 13
Number of green marbles = 10 - 5 = 5
Total marbles = 10 + 13 + 5 = 28
Number of red marbles = 10 + 3 = 13
Number of green marbles = 10 - 5 = 5
Total marbles = 10 + 13 + 5 = 28
Most Upvoted Answer
In a box of marbles, there are three less white marbles than the red o...
Given:
- There are 10 white marbles in the box.
- There are three less white marbles than the red ones.
- There are five more white marbles than the green ones.
To find:
- The total number of marbles in the box.
Assumptions:
- Let's assume the number of red marbles in the box is R.
- Let's assume the number of green marbles in the box is G.
Calculations:
1. According to the given information, there are three less white marbles than the red ones.
- So, the number of white marbles = R - 3.
2. According to the given information, there are five more white marbles than the green ones.
- So, the number of white marbles = G + 5.
3. Since we know the total number of white marbles is 10, we can equate the two expressions for the number of white marbles:
- R - 3 = G + 5
- R = G + 5 + 3
- R = G + 8 ----(Equation 1)
4. Now, we need to find the total number of marbles in the box. It can be calculated by adding the number of red, white, and green marbles:
- Total number of marbles = R + (R - 3) + (G + 5)
- Total number of marbles = 2R - 3 + G + 5
- Total number of marbles = 2R + G + 2 ----(Equation 2)
5. From Equation 1, we can substitute the value of R in Equation 2:
- Total number of marbles = 2(G + 8) + G + 2
- Total number of marbles = 2G + 16 + G + 2
- Total number of marbles = 3G + 18 ----(Equation 3)
6. Since the total number of marbles is given as 10, we can equate Equation 3 to 10 and solve for G:
- 3G + 18 = 10
- 3G = 10 - 18
- 3G = -8
- G = -8/3
Conclusion:
- The number of green marbles cannot be negative. Therefore, there is an error in the question or the given information.
- There are 10 white marbles in the box.
- There are three less white marbles than the red ones.
- There are five more white marbles than the green ones.
To find:
- The total number of marbles in the box.
Assumptions:
- Let's assume the number of red marbles in the box is R.
- Let's assume the number of green marbles in the box is G.
Calculations:
1. According to the given information, there are three less white marbles than the red ones.
- So, the number of white marbles = R - 3.
2. According to the given information, there are five more white marbles than the green ones.
- So, the number of white marbles = G + 5.
3. Since we know the total number of white marbles is 10, we can equate the two expressions for the number of white marbles:
- R - 3 = G + 5
- R = G + 5 + 3
- R = G + 8 ----(Equation 1)
4. Now, we need to find the total number of marbles in the box. It can be calculated by adding the number of red, white, and green marbles:
- Total number of marbles = R + (R - 3) + (G + 5)
- Total number of marbles = 2R - 3 + G + 5
- Total number of marbles = 2R + G + 2 ----(Equation 2)
5. From Equation 1, we can substitute the value of R in Equation 2:
- Total number of marbles = 2(G + 8) + G + 2
- Total number of marbles = 2G + 16 + G + 2
- Total number of marbles = 3G + 18 ----(Equation 3)
6. Since the total number of marbles is given as 10, we can equate Equation 3 to 10 and solve for G:
- 3G + 18 = 10
- 3G = 10 - 18
- 3G = -8
- G = -8/3
Conclusion:
- The number of green marbles cannot be negative. Therefore, there is an error in the question or the given information.
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In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box?a)26b)28c)32d)36Correct answer is option 'B'. Can you explain this answer?
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