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? A) Stan owns 9 cards or less. B) Stan owns 9 cards or more. C) Stan owns less than 9 cards. D) Stan owns more than 9 cards.

Answer 1

C) Stan owns less than 9 cards.

Step-by-step explanation

Let
`k` be the number of Kyle's cards and
`s` the number of Stan's cards.

We know from our problem that Kyle has 22 more cards than 3 times the number of cards that Stan owns, so:

`k=3s+22` equation (1)

We also knows that together, they own less than 58 cards, so:

`k+s<58` equation (2)

Replace (1) in (2) and solve for
`s`:

`3s+22+s<58`

`4s<36`

`s<(36)/(4)`

`s<9`

Stan owns less than 9 cards.