Uncle Lim has 4 boxes of fruits, Box A, Box B, Box C and Box D. The bar graph below shows the number of fruits in each box. The bar representing Box D is not shown.

  1. (a)

    How many percent more fruits are there in Box B than Box A? Give your answer as a mixed number in its simplest form.

  2. (b)

    Box C contains only apples and oranges. There are 4 more apples than oranges in Box C. How many apples are there in Box C?

  3. (c)

    The average number of fruits in the 4 boxes is 90. Find the number of fruits in Box D.

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Worked solution

7(a)

1. Read the number of fruits in Box A and Box B from the bar graph

From the graph:
Number of fruits in Box A = 6060
Number of fruits in Box B = 100100

2. Calculate the difference in the number of fruits between Box B and Box A

Difference = 100−60=40100 - 60 = 40

3. Calculate the percentage increase relative to Box A

Percentage more = 4060×100%\frac{40}{60} \times 100\%
=23×100%= \frac{2}{3} \times 100\%
=2003%= \frac{200}{3}\%
=6623%= 66\frac{2}{3}\%

Answer

6623%66\frac{2}{3}\%

7(b)

1. Determine the total number of fruits in Box C from the bar graph

From the bar graph, the number of fruits in Box C is 8080.

2. Calculate the number of apples using the sum and difference method

Let the number of oranges be 11 unit.
The number of apples is 11 unit +4+ 4.
Total fruits =2= 2 units +4=80+ 4 = 80
22 units =80−4=76= 80 - 4 = 76
11 unit =76÷2=38= 76 \div 2 = 38 (oranges)
Number of apples =38+4=42= 38 + 4 = 42

Alternatively, using sum and difference:
Number of apples =(80+4)÷2=42= (80 + 4) \div 2 = 42

Answer

4242

7(c)

1. Find the total number of fruits in all 4 boxes

Total fruits=90×4=360\text{Total fruits} = 90 \times 4 = 360

2. Find the total number of fruits in Boxes A, B, and C from the graph

Fruits in A, B, C=60+100+80=240\text{Fruits in A, B, C} = 60 + 100 + 80 = 240

3. Calculate the number of fruits in Box D

Fruits in Box D=360−240=120\text{Fruits in Box D} = 360 - 240 = 120

Answer

120120

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