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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.

Respuesta :

MathPhys

Answer:

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.

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