This can be solved algebraically.
Set the variable x as the number of cards Bob has.
Then express the number of cards that Bill has, in terms of x (Bob's cards).
Bob = x
Bill = only 1/3 as many as Bob
Their total is 68.
So x + (1/3 x) = 68
4/3 x = 68
Multiply both sides by 3.
4x = 204
and x =51 and 1/3 x = 17
So Bob has 51 cards and Bill has a third as many, or 17, for a total of 68.
51
36
Three times more is NOT defined as "triple". Rather it is "triple more". Three times MORE than 4 is NOT 12. Three times AS MUCH as 4 is 12. Three times MORE than 4 is 12 more than 4, which is 16.
Three Times A Number x Minus Two translates to 3x-2 Three Times A Number x Minus Two translates to 3•x-2 Three Times A Number y Minus Two translates to 3y-2 Three Times A Number z Minus Two translates to 3z-2
7
51
Bob has 51 cards; Bill has 17.
51. Bob has 3/4 of 68.
24
This works out fairly simply, He has 8 football cards and 24 Baseball cards.
13 yellow cards and 16 red cards all together 29 cards
The probability of drawing three diamonds from a standard deck of 52 cards is (13 in 52) times (12 in 51) times (11 in 50), or 1716 in 132600, or about 0.01294.
2
The probability of drawing three queens from a deck of cards is (4 in 52) times (3 in 51) times (2 in 50), or 24 in 132,600 or 1 in 5,525.
Exactly four-and-twenty times as much as the worth of one cereal baseball card, one would normally suppose. But, as I have none, I suppose that, if I gathered up all my baseball cards, they would have a combined value of naught. By the bye, how much are your baseball cards worth?
Click your heels together three times and say "Bubbanush!"
They are: 3*7*14 = 231