Serena has a monthly salary of 86508650. She spent 15\frac{1}{5} of her money on food. The pie chart below shows how she used her monthly salary.

  1. (a)

    How much money did Serena spend on food?

    Answer: ___

  2. (b)

    What fraction of her salary did Serena spend on rent and transport?

    Answer: ___

  3. (c)

    What percentage of her salary did she spend on shopping?

    Give your answer correct to nearest 1%.

    Answer: ___

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Worked solution

7(a)

1. Calculate the amount spent on food by multiplying the fraction by the total salary

15×8650=1730\frac{1}{5} \times 8650 = 1730

Answer

$1730

7(b)

1. Calculate the total amount spent on rent and transport

Total spent on rent and transport=$2422+$865=$3287\text{Total spent on rent and transport} = \char36{}2422 + \char36{}865 = \char36{}3287

2. Express the amount as a fraction of the total salary and simplify

Fraction=32878650=1950\text{Fraction} = \frac{3287}{8650} = \frac{19}{50}

Answer

1950\frac{19}{50}

7(c)

1. Calculate the amount spent on food.

Food=15×8650=$1730\text{Food} = \frac{1}{5} \times 8650 = \char36{}1730

2. Calculate the amount spent on shopping.

Shopping=8650−(1730+865+2422+3000)=8650−8017=$633\text{Shopping} = 8650 - (1730 + 865 + 2422 + 3000) = 8650 - 8017 = \char36{}633

3. Calculate the percentage spent on shopping and round to the nearest 1%.

Percentage=6338650×100%≈7.3179%≈7%\text{Percentage} = \frac{633}{8650} \times 100\% \approx 7.3179\% \approx 7\%

Answer

7%7\%

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