The graph shows the number of laptops sold from July to September last year. The total number of laptops sold in August and September was 23\frac{2}{3} of the total number of laptops sold over the 3 months. The bar for the number of laptops sold in September has not been drawn. Complete the graph by shading to show the number of laptops sold in September. Ans:

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Worked solution

4

1. Determine the fraction of laptops sold in July

Since August and September account for 23\frac{2}{3} of the total, July accounts for 1−23=131 - \frac{2}{3} = \frac{1}{3} of the total.

2. Relate the fraction for July to the units on the graph

From the graph, July has 3 units. So, 13\frac{1}{3} of the total is 3 units.

3. Calculate the total units for August and September

Since 13\frac{1}{3} of the total is 3 units, 23\frac{2}{3} of the total is 3×2=63 \times 2 = 6 units. This is the total for August and September.

4. Determine the units for September

From the graph, August has 5 units. Therefore, September has 6−5=16 - 5 = 1 unit.

Answer

Shade 1 unit for September.

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