John and Nat were given some money.

If John spends $50 and Nat spends $100 each day,

John would still have $2500 left while Nat would

have spent all her money.

If John spends $100 and Nat spends $50 each day,

John would still have $1000 left while Nat would

have spent all her money.

How much were John and Nat given each?