Maths Olympiad Prep

Library / /47 of 310

, 2026

Algebra Difficulty 1.2 Junior Find the answer Canada

Fermat buys 88 bananas and
44 apples. The cost of each banana
is half the cost of each apple. If the total cost of the fruit is $16.00\$16.00, what is the cost of each
apple?

Pick one

Solution

The cost of each banana is half the cost of each apple, and so
the cost to buy 88 bananas is the
same as the cost to buy 44 apples.
Therefore, the cost to buy 88
bananas and 44 apples is the same as
the cost to buy 4+4=84+4=8 apples. The
total cost of the fruit is $16.00\$16.00,
and so the cost of each apple is $16.008=$2.00\dfrac{\$16.00}{8}=\$2.00.

Want a route through all this instead of an archive? The track puts 2,444 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.