Maths Problems 31 July 09

1. Mother gave Claire and Jane each a certain amount of money to spend.
If Claire spent $90 per day and Jane spent $30 per day, Claire would have $100 left when Jane had spent all her money. If Claire spent $30 per day and Jane $90 per day, Claire spent would have $580 left when Jane had spent all her money. Find the total amount of money given to Claire and Jane.

2. Mary and Jason each have some money. If Mary spent $80 per day and Jason spent $40 per day, Mary will have $500 left when Jason has spent all his money. If Mary spent $40 per day and Jason spent $80 per day, Mary will have $1100 left when Jason has spent all his money. What is the amount of money that Jason has?