 # Problem of the Week Problem A and Solution Counting Birds

## Problem

The Wildlife Centre did a bird count for one month. They counted a total of $$828$$ birds. Their results are shown in the table below, but the count for the blue jays is missing.

Bird Count
Sparrows $$234$$
Chickadees $$317$$
Blue Jays ?
Cardinals $$123$$
1. How many blue jays did they count?

2. Did they count more sparrows and blue jays combined than chickadees and cardinals combined? ## Solution

1. From the information in the table, we can find the total number of sparrows, chickadees, and cardinals is equal to $$234 + 317 + 123 = 674$$. Since they counted a total of $$828$$ birds, we can find the number of blue jays by subtracting the total number of the other birds from the overall total number of birds. That is, $$828 - 674 = 154$$.

Therefore, they counted $$154$$ blue jays.

2. They counted $$234 + 154 = 388$$ sparrows and blue jays combined.
They counted $$317 + 123 = 440$$ chickadees and cardinals combined.
So they counted more chickadees and cardinals combined.

Alternatively, from the given data we know that they counted $$317 + 123 = 440$$ chickadees and cardinals combined. Since $$440$$ is more than half of $$828$$, which is the total number of birds, then they must have counted more chickadees and cardinals.