Question

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.

Answer 1

10 face cards and 5 non-face cards

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.