PSLE Kylie had an equal number of purple and yellow beads. She gave 31 purple beads and 13 yellow beads to Mary. She gave the remaining beads to Nora. Nora was given 3 purple beads for every 5 yellow beads. How many beads did Kylie have at first?
|
Purple |
Yellow |
Before |
3 u + 31 |
5 u + 13 |
Change |
- 31 |
- 13 |
After |
3 u |
5 u |
The number of purple and yellow beads is equal at first.
3 u + 31 = 5 u + 13
5 u - 3 u = 31 - 13
2 u = 18
1 u = 18 ÷ 2 = 9
Number of purple beads that Kylie had at first
= 3 u + 31
= 3 x 9 + 31
= 27 + 31
= 58
Number of beads that Kylie had at first
= 2 x 58
= 116
Answer(s): 116