PSLE Gwen had an equal number of white and silver beads. She gave 37 white beads and 34 silver beads to Mary. She gave the remaining beads to Nora. Nora was given 2 white beads for every 5 silver beads. How many beads did Gwen have at first?
|
White |
Silver |
Before |
2 u + 37 |
5 u + 34 |
Change |
- 37 |
- 34 |
After |
2 u |
5 u |
The number of white and silver beads is equal at first.
2 u + 37 = 5 u + 34
5 u - 2 u = 37 - 34
3 u = 3
1 u = 3 ÷ 3 = 1
Number of white beads that Gwen had at first
= 2 u + 37
= 2 x 1 + 37
= 2 + 37
= 39
Number of beads that Gwen had at first
= 2 x 39
= 78
Answer(s): 78