The bar graph below shows the number of cars sold from January to March.

  1. (a)

    The number of cars sold in March is 14\tfrac{1}{4} of the number of cars sold in April.

    Draw and shade the bar representing the number of cars sold in April.

  2. (b)

    What is the average number of cars sold from January to April?

    Ans: ___

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Worked solution

7(a)

1. Read the number of cars sold in March from the bar graph

From the graph, the bar for March reaches a height of 99.
Number of cars sold in March = 99

2. Calculate the number of cars sold in April using the given fraction

Since March is 14\frac{1}{4} of April:
14\frac{1}{4} of April = 99
April = 9×4=369 \times 4 = 36

Answer

Draw a bar for April reaching the height of 36.

7(b)

1. Find the number of cars sold in April from part (a)

From part (a), March sold 99 cars, which is 14\frac{1}{4} of April.
Number of cars sold in April =9×4=36= 9 \times 4 = 36

2. Calculate the total number of cars sold from January to April

Total cars =30 (Jan)+18 (Feb)+9 (Mar)+36 (Apr)=93= 30 \text{ (Jan)} + 18 \text{ (Feb)} + 9 \text{ (Mar)} + 36 \text{ (Apr)} = 93

3. Calculate the average number of cars sold

Average =Total carsNumber of months=934=23.25= \frac{\text{Total cars}}{\text{Number of months}} = \frac{93}{4} = 23.25
Since the question asks for the average number of cars, we can leave it as 23.2523.25 or 231423\frac{1}{4}. (Note: Average can be a decimal even for discrete items).

Answer

2323

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