Question: The directions are k1,p1 into next stitch. does this mean k1 then p1 and without slipping the stitch to the right needle then bring the yarn back to the right and put the right needle into the back of the p stitch and knit this slipping it off to the right needle. giving you 3 stitches.
K1, P1, into the next stitch mean making or increase one extra stitch. It doesn't necessarily replies to ribbing. You do this by knit a stitch and leave it on the the left needle (assuming you're a right-handed), then bring the yarn forward, purl the same stitch and then slip the knit and purl stitches just knitted off the left needle. You only have 2 sts, not 3.
I hope this helps and thank you for your question. Let me know if you still need help.