In March, Tiffany and Dylan had beads in the ratio 8 : 5. In April, each of them gave away the same number of beads. Tiffany then had five times as many beads as Dylan.

1. Find the ratio of the number of beads Dylan had in March to the number of beads he had in April.
2. Find the ratio of the total number of beads both had in March to the total number of beads both had in April.

	Tiffany	Dylan	Difference
Before	8x4 = 32 u	5x4 = 20 u	3x4 = 12 u
Change	- 17 u	- 17 u
After	5x3 = 15 u	1x3 = 3 u	4x3 = 12 u

(a)
Since Tiffany and Dylan gave away the same number of beads, the difference in the number of beads between Tiffany and Dylan at first and in the end remains the same.

Make the difference in the number of beads at first and in the end the same. LCM of 3 and 4 is 12.

Dylan's beads in March : Dylan's beads in April
20 : 3

(b)
Total number of beads in March
= 32 u + 20 u
= 52 u

Total number of beads in April
= 15 u + 3 u
= 18 u

Total beads in March : Total beads in April
52 : 18 _(÷2)
26 : 9 

Answer(s): (a) 20 : 3; (b) 26 : 9