Question

Lucky and Ajay are given some money each week. If Lucky and Ajay each spend 40 and 10 respectively in a day, Lucky will still have 700 when Ajay has spent all his money. If Lucky and Ajay each spend 10 and 40 a day, Lucky will still have 1075 when Ajay has spent all his money. How much money is given to Lucky each week?

Answer 1

Don't understand. If Ajay spends 10, then s/he will have no money. How does Ajay get the 40 to spend?

Answer 2

L - 40 d = 700
A - 10 d = 0
multiply second eqn by 4
L - 40 d = 700
4A - 40 d = 0
===========subtract
L - 4 A = 700

L - 10 e = 1075
A - 40 e = 0
multiply first eqn by 4
4 L - 40 e = 4300
A - 40 e = 0
----------------------subtract
4 L - A = 4300
L - 4 A = 700 from above
multiply first one by 4
16 L - 4 A = 17200
L - 4 A = 700
-----------------------------subtract
15 L = 16500
L = 1100