The pie chart shows the type of sandwiches sold at a canteen stall. 13\frac{1}{3} of the sandwiches sold were peanut butter sandwiches. The types of sandwiches sold is also represented in the bar graph shown. Draw the bars for the number of peanut butter sandwiches and avocado sandwiches sold in the bar graph.

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Worked solution

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1. Determine the fraction of the total represented by Chicken and Tuna.

From the pie chart, the sectors for Chicken and Tuna are both right angles (90∘90^\circ).
Fraction for Chicken = 90∘360∘=14\frac{90^\circ}{360^\circ} = \frac{1}{4}
Fraction for Tuna = 90∘360∘=14\frac{90^\circ}{360^\circ} = \frac{1}{4}

2. Find the total number of units representing all sandwiches.

From the bar graph, the bar for Chicken is 6 units high.
Since 14\frac{1}{4} of the total corresponds to 6 units,
Total units = 6×4=246 \times 4 = 24 units.

3. Calculate the height of the bar for Peanut butter.

Peanut butter represents 13\frac{1}{3} of the total sandwiches.
Height for Peanut butter = 13×24=8\frac{1}{3} \times 24 = 8 units.

4. Calculate the fraction and height of the bar for Avocado.

Fraction for Avocado = 1−14−14−13=1−12−13=161 - \frac{1}{4} - \frac{1}{4} - \frac{1}{3} = 1 - \frac{1}{2} - \frac{1}{3} = \frac{1}{6}
Height for Avocado = 16×24=4\frac{1}{6} \times 24 = 4 units.

Answer

Draw a bar of height 8 units for Peanut butter and a bar of height 4 units for Avocado.

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