Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid \(\frac{3}{2}\) times the hourly rate. Last week, Harry worked for 33 hours. He was also paid a bonus of \(\frac{1}{10}\) of his earnings for that week. Calculate how much Harry was paid in total last week.

Photo AI

Harry is paid £8.60 per hour for the first 30 hours he works each week - OCR - GCSE Maths - Question 14 - 2020 - Paper 1

Question 14

Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid \(\frac{3}{2}\) times the hourly rate. Last week, Harry worked for... show full transcript

Worked Solution & Example Answer:Harry is paid £8.60 per hour for the first 30 hours he works each week - OCR - GCSE Maths - Question 14 - 2020 - Paper 1

Step 1

Calculate earnings for the first 30 hours

96%

114 rated

Answer

For the first 30 hours, Harry earns:

[ 30 \text{ hours} \times £8.60 = £258.00 ]

Step 2

Calculate earnings for the additional 3 hours

99%

104 rated

Answer

After 30 hours, Harry's hourly rate increases to:

[ £8.60 \times \frac{3}{2} = £12.90 ]

For the additional 3 hours, his earnings are:

[ 3 \text{ hours} \times £12.90 = £38.70 ]

Step 3

Calculate total earnings before the bonus

96%

101 rated

Answer

Total earnings before the bonus are:

[ £258.00 + £38.70 = £296.70 ]

Step 4

Calculate the bonus

98%

120 rated

Answer

The bonus is (\frac{1}{10}) of his total earnings:

[ \frac{1}{10} \times £296.70 = £29.67 ]

Step 5

Calculate total earnings including the bonus

97%

117 rated

Answer

Total earnings including the bonus are:

[ £296.70 + £29.67 = £326.37 ]

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

;