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Lena works for 34 hours from Monday to Friday at her normal rate of pay.On Saturdays she gets an overtime rate of pay.The overtime rate is 1.5 times her normal rate.She works for 4 hours on a Saturday.Altogether Lena earns £320 for her week’s work.What is her normal rate of pay per hour?(3 marks)

Question

Lena works for 34 hours from Monday to Friday at her normal rate of pay.On Saturdays she gets an overtime rate of pay.The overtime rate is 1.5 times her normal rate.She works for 4 hours on a Saturday.Altogether Lena earns £320 for her week’s work.What is her normal rate of pay per hour?(3 marks)

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Solution

Step 1: Let's denote Lena's normal rate of pay per hour as X.

Step 2: From Monday to Friday, Lena works for 34 hours. So, her earnings for these days would be 34X.

Step 3: On Saturdays, Lena works for 4 hours and her rate of pay is 1.5 times her normal rate. So, her earnings for Saturday would be 4 * 1.5X = 6X.

Step 4: According to the problem, Lena's total earnings for the week is £320. So, we can set up the following equation: 34X (earnings from Monday to Friday) + 6X (earnings from Saturday) = £320.

Step 5: Simplify the equation: 40X = £320.

Step 6: Solve for X (Lena's normal rate of pay per hour) by dividing both sides of the equation by 40: X = £320 / 40 = £8.

So, Lena's normal rate of pay per hour is £8.

This problem has been solved

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