Question

Robin has 7 red beads, 27 purple beads, and 24 yellow beads. She wants to make a necklace with the pattern; red bead; 3 purple beads; 2 yellow beads. How many times can she repeat the pattern? Which color of beads will she run out of first?

Answer 1

each cycle uses 6 beads, in the ratio 1:3:2 =
7:21:14

You can see that 7 cycles will use up all the reds, with others left over.