Fearne and Leo have both recently started new jobs.
The ratio of Fearne’s hourly pay to Leo’s hourly pay is 6 : 5.
After the first month both Fearne and Leo get an increase of £1.50 in their hourly pay.
The ratio of Fearne’s hourly pay to Leo’s hourly pay after this increase is 13 : 11.
Work out the hourly pay before the increase for both Fearne and Leo.
Answer:
The ratio of initial hourly rates is 6:5 which means their actual rate is in the ratio of 6x : 5x, where x is an unknown multiplier.
When they receive their increase of £1.50, the ratio is then 6x + 1.5 : 5x + 1.5
Since that new ration is equal to 13/11, we can also say that:
13(6x+1.5) = 11(5x+1.5) 66x+16.5 = 65x+19.5
If we take 65x and 16.5 from both sides, we get that x = 3.
If we substitute x = 3 back into the original ratio of 6x:5x to find their original hourly rate so..
6(3) : 5(3) = £18 : £15
Therefore, Fearne had £18 an hour and Leo had £15 an hour.