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I) Make a pie chart to show the distribution of the money. ii) What fraction of the money is spent on savings?

Mathematics

ScanSolve AI Answer

Answer

ii

325\frac{3}{25}

Step-by-step solution

3 steps

Here's the solution to question 1:

Part i· 1 step

Make a pie chart to show the distribution of the money.

To create a pie chart, we first need to calculate the angle for each category based on its percentage of the total 360∘360^\circ in a circle.

  1. Calculate the angle for each expense category.

    • Food: 10%10\% of 360∘=0.10×360∘=36∘360^\circ = 0.10 \times 360^\circ = 36^\circ
    • Shelter: 25%25\% of 360∘=0.25×360∘=90∘360^\circ = 0.25 \times 360^\circ = 90^\circ
    • Clothing: 20%20\% of 360∘=0.20×360∘=72∘360^\circ = 0.20 \times 360^\circ = 72^\circ
    • Advancement: 15%15\% of 360∘=0.15×360∘=54∘360^\circ = 0.15 \times 360^\circ = 54^\circ
    • Operating expenses: 18%18\% of 360∘=0.18×360∘=64.8∘360^\circ = 0.18 \times 360^\circ = 64.8^\circ
    • Savings: 12%12\% of 360∘=0.12×360∘=43.2∘360^\circ = 0.12 \times 360^\circ = 43.2^\circ

    The pie chart would be drawn with sectors corresponding to these angles:
    Food: 36∘36^\circ
    Shelter: 90∘90^\circ
    Clothing: 72∘72^\circ
    Advancement: 54∘54^\circ
    Operating expenses: 64.8∘64.8^\circ
    Savings: 43.2∘43.2^\circ

Part ii

325\frac{3}{25}

What fraction of the money is spent on savings?

  1. Identify the percentage for savings.

    From the table, savings account for 12%12\% of the income.

  2. Convert the percentage to a fraction and simplify.

    Fraction for savings=12100\text{Fraction for savings} = \frac{12}{100} Fraction for savings=12÷4100÷4=325\text{Fraction for savings} = \frac{12 \div 4}{100 \div 4} = \frac{3}{25}

    The fraction of the money spent on savings is 325\boxed{\frac{3}{25}}.

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