# Problem of the Week Problem A and Solution Going to the Birds

## Problem

The following table shows some information about some of the world’s tallest birds. However, the table is incomplete.

Bird Average Height (in cm)
Mute Swan
Ostrich
King Penguin $$92$$
Andean Condor
Emu
Southern Cassowary $$155$$
Wandering Albatross
1. Use the following information about the average heights of these birds to fill in the rest of the table:

• The Andean Condor is $$18$$ cm taller than the King Penguin.

• The Mute Swan is $$55$$ cm shorter than the Southern Cassowary.

• The Wandering Albatross is $$7$$ cm taller than the Mute Swan.

• The Ostrich is $$1$$ m taller than the Andean Condor.

• The Southern Cassowary is $$20$$ mm taller than the Emu.

2. List the birds in order from shortest to tallest.

## Solution

1. Since the Andean Condor is $$18$$ cm taller than the King Penguin, the Andean Condor is $$92 + 18 = 110$$ cm tall.

Since the Mute Swan is $$55$$ cm shorter than the Southern Cassowary, the Mute Swan is $$155 - 55 = 100$$ cm tall.

Since the Wandering Albatross is $$7$$ cm taller than the Mute Swan, the Wandering Albatross is $$100 + 7 = 107$$ cm tall.

Since the Ostrich is $$1$$ m taller than the Andean Condor, and $$1$$ m $$=$$ $$100$$ cm, the Ostrich is $$110 + 100 = 210$$ cm tall.

Since the Southern Cassowary is $$20$$ mm taller than the Emu, and $$20$$ mm $$=$$ $$2$$ cm, the Emu is $$155 -2 = 153$$ cm tall.

The completed version of the table is:

Bird Average Height (in cm)
Mute Swan $$100$$
Ostrich $$210$$
King Penguin $$92$$
Andean Condor $$110$$
Emu $$153$$
Southern Cassowary $$155$$
Wandering Albatross $$107$$
2. We can rank the birds from shortest to tallest using the completed table from part (a). From shortest to tallest, the birds are:
King Penguin, Mute Swan, Wandering Albatross, Andean Condor, Emu, Southern Cassowary, Ostrich