Answer:
Xena earns $144 per a week.
Step-by-step explanation:
Harry earns - $ h
Xena earns - $ x
George earns -$ g
Harry earns $45 a week more than Xena. h= x+45
George earns $18 a week less than Xena. g = x - 18
If Harry earns the same amount in two weeks that George earns in three weeks
2h = 3g
So, we have the system of 3 equations:
h= x+45
g = x - 18
2h = 3g (*)
Substitute values of h and g into equation (*)
2(x+45) = 3(x-18)
2x + 90 = 3x - 54
90+54 = 3x- 2x
x= 144
