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Sheetal has 45 green balls, 18 blue balls and 63 red balls. She wants to put them in bags with same number of each type of ball in each bag. How many bags will Sheetal need?
- a)8
- b)7
- c)9
- d)6
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Sheetal has 45 green balls, 18 blue balls and 63 red balls. She wants ...
Answer is 9 bags because :
45 green balls = 15 + 15 +15
18 blue balls = 6 + 6 + 6
63 red balls = 21 + 21 + 21
45 green balls = 15 + 15 +15
18 blue balls = 6 + 6 + 6
63 red balls = 21 + 21 + 21
Most Upvoted Answer
Sheetal has 45 green balls, 18 blue balls and 63 red balls. She wants ...
Given information:
Sheetal has 45 green balls, 18 blue balls, and 63 red balls.
To find:
How many bags will Sheetal need?
Solution:
To find the number of bags Sheetal will need, we need to determine the greatest common divisor (GCD) of the three given numbers (45, 18, and 63). The GCD will represent the maximum number of balls of each type that can be put in each bag.
Finding the GCD:
To find the GCD, we can list the factors of each number and identify the common factors.
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 63: 1, 3, 7, 9, 21, 63
The common factors are 1 and 3. Therefore, the GCD of 45, 18, and 63 is 3.
Calculating the number of bags:
To calculate the number of bags, we divide the total number of each type of ball by the GCD.
Number of green balls = 45
Number of blue balls = 18
Number of red balls = 63
Number of bags for green balls = 45 / 3 = 15
Number of bags for blue balls = 18 / 3 = 6
Number of bags for red balls = 63 / 3 = 21
Since we need to have the same number of each type of ball in each bag, we need to consider the smallest number of bags required. The number of bags for blue balls is the smallest, which is 6.
Therefore, Sheetal will need 6 bags to put all the balls, with an equal number of each type of ball in each bag.
Final answer:
Sheetal will need 6 bags. Hence, the correct answer is option (d) 6.
Sheetal has 45 green balls, 18 blue balls, and 63 red balls.
To find:
How many bags will Sheetal need?
Solution:
To find the number of bags Sheetal will need, we need to determine the greatest common divisor (GCD) of the three given numbers (45, 18, and 63). The GCD will represent the maximum number of balls of each type that can be put in each bag.
Finding the GCD:
To find the GCD, we can list the factors of each number and identify the common factors.
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 63: 1, 3, 7, 9, 21, 63
The common factors are 1 and 3. Therefore, the GCD of 45, 18, and 63 is 3.
Calculating the number of bags:
To calculate the number of bags, we divide the total number of each type of ball by the GCD.
Number of green balls = 45
Number of blue balls = 18
Number of red balls = 63
Number of bags for green balls = 45 / 3 = 15
Number of bags for blue balls = 18 / 3 = 6
Number of bags for red balls = 63 / 3 = 21
Since we need to have the same number of each type of ball in each bag, we need to consider the smallest number of bags required. The number of bags for blue balls is the smallest, which is 6.
Therefore, Sheetal will need 6 bags to put all the balls, with an equal number of each type of ball in each bag.
Final answer:
Sheetal will need 6 bags. Hence, the correct answer is option (d) 6.
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Community Answer
Sheetal has 45 green balls, 18 blue balls and 63 red balls. She wants ...
9 is correct answer
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