The odds on (against) your bet are 1 to 5 . If you bet $\$ 40$ and win, how much will you gain?
(Type an integer or a decimal.)
Final Answer: You will gain \(\boxed{200}\).
Step 1 :The odds of 1 to 5 means that for every 1 unit you bet, you will win 5 units.
Step 2 :So if you bet $40 and win, you will gain 5 times the amount you bet.
Step 3 :\(\text{bet\_amount} = 40\)
Step 4 :\(\text{odds} = 5\)
Step 5 :\(\text{gain} = \text{bet\_amount} \times \text{odds} = 200\)
Step 6 :Final Answer: You will gain \(\boxed{200}\).