Susan is making jewelry with a repeating pattern that has 3 green beads, 5 purple beads, and twice as many red beads as green beads. If the pattern repeats three times per bracelet and 5 times per necklace, how many beads does she need to make 1 bracelets and 10 necklaces? Let's answer step by step:
First find the number of red beads per repeat: 3 green * 2 red / green = 6 red. Then add the number of beads of each color to find the total number of bead per repeat: 6 beads + 3 beads + 5 beads = 14 beads. Then multiply the number of beads per repeat by the number of repeats per bracelet to find the number of beads per bracelet: 14 beads / repeat * 3 repeats / bracelet = 42 beads / bracelet. Then multiply the number of beads per repeat by the number of repeats per necklace to find the number of beads per necklace: 14 beads / repeat * 5 repeats / necklace = 70 beads / necklace. Then multiply the number of beads per necklace by the number of necklaces to find the total number of beads used in the necklaces: 70 beads / necklace * 10 necklaces = 700 beads. Then add the number of beads used in a bracelet to the number of beads in the necklaces to find the total number of beads used: 700 beads + 42 beads = 742 beads. The answer: 742.