PSLE Shannon had an equal number of yellow and pink beads. She gave 34 yellow beads and 19 pink beads to Mary. She gave the remaining beads to Nora. Nora was given 5 yellow beads for every 8 pink beads. How many beads did Shannon have at first?
|
Yellow |
Pink |
Before |
5 u + 34 |
8 u + 19 |
Change |
- 34 |
- 19 |
After |
5 u |
8 u |
The number of yellow and pink beads is equal at first.
5 u + 34 = 8 u + 19
8 u - 5 u = 34 - 19
3 u = 15
1 u = 15 ÷ 3 = 5
Number of yellow beads that Shannon had at first
= 5 u + 34
= 5 x 5 + 34
= 25 + 34
= 59
Number of beads that Shannon had at first
= 2 x 59
= 118
Answer(s): 118