Question 534134
let x kg be the free allowance

for both of them the free allowance = 2x
135-2x is the excess luggage

135-2x they paid $4.05

1 kg they pay how much ?

They pay 4.05/(135-2x) per kg excess

Single person

135-x is the excess luggage

For 135 kg he pays $8.10

He pays 8.10/(135-x)per kg for excess luggage

The rate per kg for excess luggage is the same so equate both

4.05/(135-2x)=8.10/(135-x)

4.05(135-x)=8.10(135-2x)

546.75-4.05x=1093.5-16.2x

12.15x=546.75
/12.15
x=45 kg free luggage allowance

m.ananth@hotmail.ca