Solve the problem.
-On a gambling boat, Gertrude tripled her bet each time she won. If her first winning bet was $5 and she won six consecutive bets, find how much she won on the sixth bet. Find the total amount she won on these six bets.
A) $405; $605
B) $3645; $5465
C) $1215; $1820
D) $3645; $1820

Question

Quizplus · Accepted Answer

The amount Gertrude bets on each game follows the sequence: $5, $15, $45, $135, $405, $1215.

Therefore, the amount she won on the sixth bet is $1215.

To find the total amount she won on all six bets, we add up the sequence:
$5 + $15 + $45 + $135 + $405 + $1215 = $1820.

Therefore, the correct choice is C. If Gertrude's first winning bet was $5 and she tripled her bet each time she won, then her bets for the six consecutive wins would be: $5, $15, $45, $135, $405, and $1215. Thus, she won $1215 on the sixth bet.

To find the total amount she won on these six bets, we just need to add up all of her winnings:

$5 + $15 + $45 + $135 + $405 + $1215 = $1820

Therefore, the best choice is C, as it correctly gives the amount Gertrude won on the sixth bet and the total amount she won.

Solve the Problem. -On a Gambling Boat, Gertrude Tripled Her Bet Each Time