Maths Olympiad Prep

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, 2020

Combinatorics Difficulty 1.3 Junior Find the answer Canada

Matilda counted the birds that visited her bird feeder yesterday. She summarized the data in the bar graph shown.

Figure 0

The percentage of birds that were goldfinches is

15%15\% 20%20\% 30%30\% 45%45\% 60%60\%

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solutions — 2

Solution 1

From the bar graph, Matilda saw 6 goldfinches, 9 sparrows, and 5 grackles.

In total, she saw 6+9+5=206 + 9 + 5 = 20 birds. This means that the percentage of birds that were goldfinches is 620×100%=310×100%=30%\dfrac{6}{20} \times 100\% = \dfrac{3}{10} \times 100\% = 30\%.

Figure for this problem

Solution 2

From the bar graph, Matilda saw 6 goldfinches, 9 sparrows, and 5 grackles.

In total, she saw 6+9+5=206 + 9 + 5 = 20 birds. This means that the percentage of birds that were goldfinches is 620×100%=310×100%=30%\dfrac{6}{20} \times 100\% = \dfrac{3}{10} \times 100\% = 30\%.

Figure for this problem

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