Bancroft Maths 2017
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Bancroft Maths 2017
I need help from Maths experts.
I don't know where to start.
Three boxes (A, B and C) contain red balls or yellow balls or both.
Each box contains the same number of balls.
Box A contains all twelve of the red balls and one-ninth of the yellow balls.
How many yellow balls are there altogether?
How many balls are there in each box?
I don't know where to start.
Three boxes (A, B and C) contain red balls or yellow balls or both.
Each box contains the same number of balls.
Box A contains all twelve of the red balls and one-ninth of the yellow balls.
How many yellow balls are there altogether?
How many balls are there in each box?
Re: Bancroft Maths 2017
Keep upping the number of yellow balls until that number, times 8 - to make the 'added' yellow balls one ninth of the total yellow balls - (or, that number, times 4) gives you the number of balls in total you now have in the first box? Then times the total in the first box by 3?Gee wrote:I need help from Maths experts.
I don't know where to start.
Three boxes (A, B and C) contain red balls or yellow balls or both.
Each box contains the same number of balls.
Box A contains all twelve of the red balls and one-ninth of the yellow balls.
How many yellow balls are there altogether?
How many balls are there in each box?
e.g. 12 red, add 3 yellow, 15 total in that box. 3 x 8, divided by 2, equals 24/2, so 12. Do not that, keep trying...
Outside of a dog, a book is a man's best friend. Inside of a dog it's too dark to read.Groucho Marx
Re: Bancroft Maths 2017
Please correct me if my understanding is wrong.
Do one box have both colours, one box only red and one box only yellow?
If so, box A has both colours?
Do one box have both colours, one box only red and one box only yellow?
If so, box A has both colours?
Re: Bancroft Maths 2017
Box A apparently has all the red balls and some yellow balls. So the other two boxes only contain yellow balls.Gee wrote:Please correct me if my understanding is wrong.
Do one box have both colours, one box only red and one box only yellow?
If so, box A has both colours?
Outside of a dog, a book is a man's best friend. Inside of a dog it's too dark to read.Groucho Marx
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Surferfish
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Re: Bancroft Maths 2017
Box A contains all 12 of the red balls and 1/9 of the yellow balls.
The remaining 8/9 of the yellow balls must therefore be in boxes B and C. 4/9 in box B and 4/9 in box C, as each box has the same number of balls.
Because the number of balls in each box is equal, then if y is the total number of yellow balls we can say:
Number of balls in box A = Number of balls in box B
12 + (1/9)y = (4/9)y
12 = (3/9)y
y = 36
The remaining 8/9 of the yellow balls must therefore be in boxes B and C. 4/9 in box B and 4/9 in box C, as each box has the same number of balls.
Because the number of balls in each box is equal, then if y is the total number of yellow balls we can say:
Number of balls in box A = Number of balls in box B
12 + (1/9)y = (4/9)y
12 = (3/9)y
y = 36
Re: Bancroft Maths 2017
Thank you so much for all the replies.
Got the answer too once understood correctly.
Find 1/9 of multiples of 9. It has to be more than 18.
So, the next multiple is 27. But the total of the balls won't be equal with 27 balls.
So, the next multiple of 9 is 36.
1/9 of 36 is 4. 12 + 4 = 16 balls.
36 - 4 = 32 balls
32/2 = 16 balls in each boxes.
Got the answer too once understood correctly.
Find 1/9 of multiples of 9. It has to be more than 18.
So, the next multiple is 27. But the total of the balls won't be equal with 27 balls.
So, the next multiple of 9 is 36.
1/9 of 36 is 4. 12 + 4 = 16 balls.
36 - 4 = 32 balls
32/2 = 16 balls in each boxes.
