Bite-sized brain teaser to solve in a minute or less.
The Fruit Basket
A fruit vendor has a basket containing apples, oranges, and pears. The vendor gives you these clues:
- The basket holds 30 fruits in total.
- The number of apples is exactly twice the number of oranges.
- There are 5 fewer pears than apples.
How many apples, oranges, and pears are in the basket?
Solution
Let:
From the clues:
The total number of fruits is 30, so: o + a + p = 30
Substitute the expressions for a and p: o + 2o + (2o−5) = 30 5o − 5 = 30 50 = 35 o = 7
Find the numbers of apples and pears
Total fruits = 7 + 14 + 9 = 30
There are 14 apples, 7 oranges, and 9 pears in the fruit basket. |
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