Problem 2.5 Selling Mangos
A grocer sent her three children to the market to sell mangos. The
eldest had 40 mangos, the next eldest had 20, and the youngest had 10. The
grocer instructed her children to sell their mangos at the same price, and
not only that, but they must all bring home exactly the same amount of
money, even though each child had a different number of mangos to sell.
They are not allowed to trade or give away their mangos among themselves.
a. Each child returned home with the same amount. How did
they manage to comply with the instructions?
b. This problem has more than one answer. Explain.
Problem 2.6 The Final Age
A woman led 15% of her life in childhood, 7.5% of her life in youth,
and was unmarried for a further 20% of her life. Three years after her
marriage, a daughter was born who passed away three years before her
mother at half her mother's final age.
What was the woman's final age?
Problem 2.7 Working Together
Ken takes 45 minutes to finish the gardening while Werner takes 30
minutes. How long should it take if they work together?
Problem 2.8 Marbles
A set of scales that is in balance has two pans. In one pan are five
identical boxes full of marbles, as well as another box from which nine
marbles have been taken. The second pan contains exactly 63 marbles (and 6
empty boxes). How many marbles are contained in a full box?
Problem 2.9 * Operation
Problem 2.10 Division by Zero
We know that:
This means division by 0 is undefined.
Problem 2.11 True or False
Which of the following statements are true? Justify your answer
by giving reasons.