Question

a professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $31 on the second race and tripled the money he came with. He bet $51 on the third race and quadrupled his original bankroll. He bet $84 on the fourth race and lost it, but still had $40 left. How much money did he start with?

Answer 1

firstly, he had 124 dollars by the end. one moment still figuring it out

Answer 2

The gambler came with $31.

Explanation:

Let x be the initial amount.

At the end of the first race at the track he had doubled his money, that is 2x.

He bet $31 on the second race and tripled the money he came with.

Means 3x.

He bet $51 on the third race and quadrupled his original bankroll that is 4x.

He bet $84 on the fourth race and lost it, but still had $40 left.

Summing all the values, we get;

`4x-84=40`

=>
`4x=40+84`

=>
`4x=124`

=> x = 31

Hence, the gambler came with $31.