Maggie is making a necklace using 14 inch string and identical beads. maggie has placed 12 beads next to each other starting at the left end of the string as shown in the figure. the 12 beads fill 3 inches of the string. how many total beads will completely fill the 13 inch string?
after filling the string from end to end, maggie decides to leave one inch at each end of the string with no beads. how many beads does she need to remove from the beads she used to completely fill the string?