John draws 15 cards from a deck of cards, if the card drawn is queen, king, or jack it worth 10 points
others worth 5 points. if he receives a total of 125 point. how many cards of each he draws from the
deck.

10 face cards and 5 non-face cards

Step-by-step explanation:

If x is the number of face cards, and y is the number of non-face cards, then:

x + y = 15

10x + 5y = 125

Solve the system of equations.  Using substitution:

10x + 5 (15 − x) = 125

10x + 75 − 5x = 125

5x = 50

x = 10

y = 15 − x

y = 5

He drew 10 face cards and 5 non-face cards.

1353 people

Step-by-step explanation:

There are 26 letters in the English alphabet. Therefore there are 26*26 = 676 unique possible combinations there are for the baggage tagging. In the best case scenario, there are 676 different bags in which no bag have the same tagging initials on them. The 677th bag would have the same tagging initial on them as 1 of the previous 676 bag, making this the minimum number to guarantee 2 bags to have the same tagging initial.

Similarly, for the 3 bags to have the same tagging initials, the minimum number required would be 676*2 + 1 = 1353 bags or people