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How many rubbish bins are needed? (2)

Mathematics

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4 parts
1.3

−R13 900-\text{R}13\,900

2.1
36
2.2
0.75
2.3
12

Step-by-step solution

6 steps

Here are the solutions to the questions:

Part 1.3· 1 step

The municipality's budget is R110 000. The playground equipment costs R123 900.

  1. Calculate the difference between the budget and the cost.

    Money left=Budget−Cost\text{Money left} = \text{Budget} - \text{Cost} Money left=R110 000−R123 900\text{Money left} = \text{R}110\,000 - \text{R}123\,900 Money left=−R13 900\text{Money left} = -\text{R}13\,900

    Since the result is negative, it means there is a deficit.

    The amount of money left is −R13 900\boxed{-\text{R}13\,900} (or a deficit of R13 900).

Part 2.136

There are 48 trees in the park. Three quarters (34\frac{3}{4}) of the trees are planted around the playground.

  1. Calculate three quarters of the total number of trees.

    Number of trees planted=34×48\text{Number of trees planted} = \frac{3}{4} \times 48 Number of trees planted=3×484\text{Number of trees planted} = 3 \times \frac{48}{4} Number of trees planted=3×12\text{Number of trees planted} = 3 \times 12 Number of trees planted=36\text{Number of trees planted} = 36

    There are 36\boxed{36} trees planted around the playground.

Part 2.20.75

Write 34\frac{3}{4} as a decimal.

  1. Divide the numerator by the denominator.

    34=3÷4\frac{3}{4} = 3 \div 4 34=0.75\frac{3}{4} = 0.75

    As a decimal, 34\frac{3}{4} is 0.75\boxed{0.75}.

Part 2.312

The ratio of benches to rubbish bins is 3 : 2. If there are 18 benches, how many rubbish bins are needed?

  1. Set up a proportion using the given ratio and the number of benches.

    Let xx be the number of rubbish bins.

    BenchesRubbish bins=32\frac{\text{Benches}}{\text{Rubbish bins}} = \frac{3}{2} 18x=32\frac{18}{x} = \frac{3}{2}
  2. Solve for xx by cross-multiplication.

    18×2=3×x18 \times 2 = 3 \times x 36=3x36 = 3x
  3. Divide by 3 to find xx.

    x=363x = \frac{36}{3} x=12x = 12

    You will need 12\boxed{12} rubbish bins.

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