Answer:
£480
Step-by-step explanation:
we can multiply both terms of ratio with same number without changing the ratio.
Example
a:b = ax: bx (here we have multiplied both terms with x)\
Given
Stevie and Michael share their profit in a ratio 3:5
Let the profit for Stevie and Michael be 3x and 5x
Given Stevie gets £120 more than Michael
Profit for Steve = 120 + profit for Michael
3x = 120 + 5x
3x-5x = 120
=> -2x = 120
=> x= -120/2 = -60
As we see profit is negative , hence it cannot be solution.
It can be solved if Stevie and Michael share their profit in a ratio 5:3
(note: in ratio , bigger number should have bigger term in ratio)
Let the profit for Stevie and Michael be 3x and 5x
Given Stevie gets £120 more than Michael
Profit for Steve = 120 + profit for Michael
5x = 120 + 3x
5x-xx = 120
=> 2x = 120
=> x= x120/2 = 60
Profit for stevei = 5x =5*60 = 300
Profit for Michael = 3x = 3*60 = 180
Total profit for them together = 300 + 180 = 480 Answer.
