Question

In January, Lamai worked 45 hours per week and got paid £12.50 per hour.

In February, the number of hours Lamai worked per week was 20% less than the
number of hours she worked per week in January.
She was paid 32% more per hour in February than in January.
Work out how much more Lamai was paid per week in February than in January.

Answer 1

Lamai was paid £31.50 more per week in February than in January.

Step-by-step explanation:

1. Calculate the total payment in January:

Total payment in January = Hours per week * Hourly rate

= 45 hours/week * £12.50/hour

= £562.50/week

2. Calculate the number of hours Lamai worked per week in February:

Hours per week in February = 80% of the hours in January

= 80% * 45 hours/week

= 0.8 * 45 hours/week

= 36 hours/week

3. Calculate the hourly rate in February:

Hourly rate in February = 1.32 times the hourly rate in January

= 1.32 * £12.50/hour

= £16.50/hour

4. Calculate the total payment in February:

Total payment in February = Hours per week * Hourly rate

= 36 hours/week * £16.50/hour

= £594/week

5. Calculate the difference in payments between February and January:

Difference in payments = Total payment in February - Total payment in January

= £594/week - £562.50/week

= £31.50/week

Answer 2

Lamai was paid £31.50 more per week in February than in January.

Step-by-step explanation:

To calculate how much more Lamai was paid per week in February than in January, we need to calculate the difference in her weekly pay in the two months.

In January, Lamai worked 45 hours per week and got paid £12.50 per hour. So her weekly pay in January was £12.50 x 45 = £562.50.

In February, the number of hours Lamai worked per week was 20% less than in January, which is 45 - (20% of 45) = 45 - 9 = 36 hours per week.

She was paid 32% more per hour in February than in January. So her pay per hour in February was £12.50 + (32% of £12.50) = £12.50 + £4 = £16.50.

Therefore, her weekly pay in February was £16.50 x 36 = £594.

So, Lamai was paid £594 - £562.50 = £31.50 more per week in February than in January.