A keen horserace gambler places $30 on Omen Bet in the first race at Hanging Rock and the rest of his money on Hot Feet. Omen Bet tosses his jockey near the home turn, but Hot Feet wins easily and the gambler doubles the money he had bet on her. The next race, the gambler puts $30 on the Favourite and the rest of his money on Lucky Horseshoe. The Favourite is nipped on the line by Lucky Horseshoe, and the gambler finds he has tripled the money he had placed on the colt. In the third race, he puts $30 on Wish Me Luck and the rest of his money on Bred for Speed. Bred for Speed lives up to her name and swamps the rest of the field. The gambler quadruples the money he had on her and finds that he now has $240 in his pocket. How much money did he start with? Thank you.
+129839 Call the original amount $30 + x....and x is the amount bet on Hot Feet
After the first race he has $2x = twice what he bet on Hot Feet
In the second race......he bets $30 on the Favorite and [ 2x − 30] on Lucky Horseshoe
And after the second race he has $[2x − 30] *3 = $[6x − 90]
In the 3rd race he bets $30 on Wish Me Luck and $ [ 6x − 90 ] − 30 = $[ 6x − 120] on Bred for Speed
And after the last race he has
4 * [ 6x − 120] = 240
24x − 480 = 240
24x = 720
x = $30
So.......the original amount = $30 + x = $30 + $30 = $60
