Question

Kyle has 22 more cards than 3 times the number of cards that Stan owns. Together, they own less than 58 cards. How many cards are in Stan's collection?

Stan owns 9 cards or less.
Stan owns 9 cards or more.
Stan owns less than 9 cards.
Stan owns more than 9 cards.

Answer 1

For this we can just plug and play. For example lets take A:

9 x 3 = 27 + 22 = 49 + 9 = 58. I'd say A. That was a fail of an example.

Answer 2

Kyle has 22 more cards than

let K stand for the number of cards Kyle has
let X = the number Stan has

20 more than means: 22+
3 times the number of cards that Stan owns.
means 3 times X or 3x

so
K= 22+3x

Answer 3

Together, they own less than 58 cards.

that means we add them up
K+X < 58

because we know K = 22+3X we can also write it as
22+3X+X < 58

or, add 3 X's and 1 X to get 4 X's

22+4X < 58

now add -22 to both sides
22-22 +4X < 58 - 22

4X< 36