In March, Wendy and Cody had beads in the ratio 13 : 8. In April, each of them gave away the same number of beads. Wendy then had thrice as many beads as Cody.
- Find the ratio of the number of beads Cody had in March to the number of beads he had in April.
- Find the ratio of the total number of beads both had in March to the total number of beads both had in April.
| |
Wendy |
Cody |
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 Wendy and Cody gave away the same number of beads, the difference in the number of beads between Wendy and Cody 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.
Cody's beads in March : Cody's beads in April
16 : 5
(b)
Total number of beads in March
= 26 u + 16 u
= 42 u
Total number of beads in April
= 15 u + 5 u
= 20 u
Total beads in March : Total beads in April
42 : 20
(÷2)21 : 10
Answer(s): (a) 16 : 5; (b) 21 : 10
