Question

Yesterday it took 5 cleaners 4 and 1/2 hours to clean all the rooms in a hotel. There are only 3 cleaners to clean all the rooms in the hotel today. Each cleaner is paid £8.20 for each hour or part of an hour they work. How much will each cleaner be paid today?

Answer 1

If 5 cleaners took 4 hours and 30 min. to clean the whole rooms in a hotel and there's only 3 cleaners, it would take them 6 hours and 30 min. why? because 5 cleaners = 4 hours and 30 min. 4 cleaners = 5 hours ad 30 min. 3 cleaners = 6 hours and 30 min. Anyway so, if they were paid 8.20 for each hour you would multuply that so 8.20x6.5 = ?? and then you divide the answer to 3 and thats your answer

Answer 2

Answer:

£61.50

Step-by-step explanation:

Yesterday it took 5 cleaners 4 and 1/2 hours to clean all the rooms in a hotel. Then it will take $4\frac{1}{2}\cdot 5=\frac{9}{2}\cdot 5=\frac{45}{2}$ hours to one cleaner to clean all the rooms (5 times longer for one cleaner than for 5 cleaners).

If one cleaner cleans all the rooms in $\frac{45}{2}$ hours, then 3 cleaners clean all these rooms in $\frac{45}{2}:3=\frac{15}{2}$ hours.

If each cleaner works today $\frac{15}{2}$ hours and is paid £8.20 for each hour, then each cleaner will be paid

$\dfrac{15}{2}\cdot 8.20=15\cdot 4.10=\£61.50.$