PSLE Pamela had an equal number of grey and yellow beads. She gave 33 grey beads and 15 yellow beads to Mary. She gave the remaining beads to Nora. Nora was given 4 grey beads for every 7 yellow beads. How many beads did Pamela have at first?
|
Grey |
Yellow |
Before |
4 u + 33 |
7 u + 15 |
Change |
- 33 |
- 15 |
After |
4 u |
7 u |
The number of grey and yellow beads is equal at first.
4 u + 33 = 7 u + 15
7 u - 4 u = 33 - 15
3 u = 18
1 u = 18 ÷ 3 = 6
Number of grey beads that Pamela had at first
= 4 u + 33
= 4 x 6 + 33
= 24 + 33
= 57
Number of beads that Pamela had at first
= 2 x 57
= 114
Answer(s): 114