Sixteen pingpong balls are placed inside a square, wooden rack in 4 rows of 4 so that they are held firmly together. How many additional balls are required to complete a pyramid on top of the 16-ball foundation? How many more would be needed to raise the pyramid one level higher?
Answer:
9 + 4 + 1 = 14
To raise the pyramid one level, 25 balls would have to be placed under the 16. Another level would require 36 balls---each new bottom level being a perfect square.
DAY 30
How many brothers and sisters are there in a family in which each boy has as many sisters as brothers, but each of the girls has twice as many brothers as sisters?
Answer:
4 brothers and 3 sisters.....If the boys have as many brothers as sisters, then there must be 1 more boy in the family than the number of girls. So the possiblilites are 2 boys and 1 girl, 3 boys and 2 girls, 4 boys and 3 girls and so on. 4 boys and 3 girls satisfies the reqirement that each girl has twice as many brothers as sisters.
To raise the pyramid one level, 25 balls would have to be placed under the 16. Another level would require 36 balls---each new bottom level being a perfect square.
DAY 30
How many brothers and sisters are there in a family in which each boy has as many sisters as brothers, but each of the girls has twice as many brothers as sisters?
Answer:
4 brothers and 3 sisters.....If the boys have as many brothers as sisters, then there must be 1 more boy in the family than the number of girls. So the possiblilites are 2 boys and 1 girl, 3 boys and 2 girls, 4 boys and 3 girls and so on. 4 boys and 3 girls satisfies the reqirement that each girl has twice as many brothers as sisters.
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