The ratio of the number of alex's beads to the number of betty's beads was 3:4.after alex bought another 72 beads,the ratio became became 3:1.

A. How many beads did betty have?
B.if alex gave away 80 beads,what would by the new ratio of the number of betty's beads to the number of alex's beads?

2 answers

a/b = 3/4
(a+72)/b = 3/1

4a = 3b
a+72 = 3b

4a = a+72
a = 24
so, b=32

check: 24+72 = 96 = 3*32
^ what he said looks about right mate!