PSLE Penelope had an equal number of yellow and silver beads. She gave 30 yellow beads and 12 silver beads to Mary. She gave the remaining beads to Nora. Nora was given 4 yellow beads for every 7 silver beads. How many beads did Penelope have at first?
|
Yellow |
Silver |
Before |
4 u + 30 |
7 u + 12 |
Change |
- 30 |
- 12 |
After |
4 u |
7 u |
The number of yellow and silver beads is equal at first.
4 u + 30 = 7 u + 12
7 u - 4 u = 30 - 12
3 u = 18
1 u = 18 ÷ 3 = 6
Number of yellow beads that Penelope had at first
= 4 u + 30
= 4 x 6 + 30
= 24 + 30
= 54
Number of beads that Penelope had at first
= 2 x 54
= 108
Answer(s): 108