Charlotte has a large container of only red beads.
Harry has a large container of only blue beads.
Charlotte and Harry swap 40 beads.
This means that Charlotte gets 40 of Harry's blue beads in her container and Harry gets 40 of Charlotte's red beads in his container.
Charlotte now randomly picks 90 beads from her container and notices that 9 are blue.
Harry now randomly picks 80 beads from his container and notices that 70 are blue.
If all the beads were placed in one container, work out an estimate for the ratio of red to blue beads.
Simplify your answer fully.