In February, Elyse and Archie had beads in the ratio 13 : 8. In March, each of them gave away the same number of beads. Elyse then had thrice as many beads as Archie.
- Find the ratio of the number of beads Archie had in February to the number of beads he had in March.
- Find the ratio of the total number of beads both had in February to the total number of beads both had in March.
| |
Elyse |
Archie |
Difference |
| Before |
13x2 =
26 u |
8x2 =
16 u |
5x2 =
10 u |
| Change |
- 11 u |
- 11 u |
|
| After |
3x5 =
15 u |
1x5 =
5 u |
2x5 =
10 u |
(a)
Since Elyse and Archie gave away the same number of beads, the difference in the number of beads between Elyse and Archie 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 5 and 2 is 10.
Archie's beads in February : Archie's beads in March
16 : 5
(b)
Total number of beads in February
= 26 u + 16 u
= 42 u
Total number of beads in March
= 15 u + 5 u
= 20 u
Total beads in February : Total beads in March
42 : 20
(÷2)21 : 10
Answer(s): (a) 16 : 5; (b) 21 : 10
