Photo AI

Harper’s wage is £1200 each month - OCR - GCSE Maths - Question 16 - 2021 - Paper 1

Question 16

Harper’s wage is £1200 each month. They spend \( \frac{1}{4} \) of their wage on rent. They spend £460 of their wage on other items. What fraction of their wage d... show full transcript

Worked Solution & Example Answer:Harper’s wage is £1200 each month - OCR - GCSE Maths - Question 16 - 2021 - Paper 1

Step 1

They spend \( \frac{1}{4} \) of their wage on rent.

96%

114 rated

Answer

To calculate the amount spent on rent, we find ( \frac{1}{4} ) of £1200:

[ Rent = \frac{1}{4} \times 1200 = 300 \text{ pounds} ]

Thus, Harper spends £300 on rent.

Step 2

They spend £460 of their wage on other items.

99%

104 rated

Answer

Harper spends an additional £460 on other items.

Step 3

Calculating total expenditure.

96%

101 rated

Answer

The total expenditure is:

[ Total_Expenditure = Rent + Other_Items = 300 + 460 = 760 \text{ pounds} ]

Step 4

What fraction of their wage does Harper have left?

98%

120 rated

Answer

The amount left after expenditures is:

[ Amount_Left = Wage - Total_Expenditure = 1200 - 760 = 440 \text{ pounds} ]

The fraction of the wage left is:

[ Fraction_Left = \frac{Amount_Left}{Wage} = \frac{440}{1200} = \frac{44}{120} = \frac{11}{30} \text{ (in simplest form)} ]

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;