Carlos made up a game where, in a deck of cards, the red cards (hearts and diamonds) are negative and the black cards (spades and clubs) are positive. all face cards are worth 10 points, and number cards are worth their value.

a. samantha has a king of hearts, a jack of diamonds, and a 3 of spades. write an expression to find the value of his cards.

b. warren has a 7 of clubs, a 2 of spades, and a 7 of hearts. write an expression to find the value of his cards.

c. if the greater score wins, who won?

d. if a player gets three cards, describe two different ways to receive a score of 7.

Solution:(a) The value of samantha cards is -17. (b) The value of Warren cards is 2. (c) The winner name is Warren. (d) First way is king of Diamond , queen of club , 7 of spade and Second way is queen of heart, 8 of club, 9 of spade.

Explanation:

(a) It is given that red cards are negative and black cards are positive. Points of face card is 10.

Samanth has a king heart which is a red face card so the value of this card is negative 10. Jack of diamond is a red face card so the value of this card is negative 10. The value of 3 of spade is positive 3.

Therefore, the value of Samanth's cards is -17.

(b)Warren has 7 of club which is a black card so the value of this card is positive 7. The value of 2 of spade is positive 2 and the value of 7 of heart is negative -7.

Therefore, the value of Warren's cards is 2.

(c) The winner name is Warren.

From part (a) and (b) it is noticed that the value of Samanth's cards is -17 and the value of Warren's cards is 2.

Since 2>-17 therefore warren is the winner.

(d)The first way to score 7 is king of Diamond , queen of club , 7 of spade.

The second way to score 7 is queen of heart, 8 of club, 9 of spade.

Therefore, Two ways are king of Diamond , queen of club , 7 of spade and  queen of heart, 8 of club, 9 of spade.

6 equilateral triangles