PSLE Victoria had an equal number of silver and green beads. She gave 31 silver beads and 10 green beads to Mary. She gave the remaining beads to Nora. Nora was given 4 silver beads for every 7 green beads. How many beads did Victoria have at first?
|
Silver |
Green |
Before |
4 u + 31 |
7 u + 10 |
Change |
- 31 |
- 10 |
After |
4 u |
7 u |
The number of silver and green beads is equal at first.
4 u + 31 = 7 u + 10
7 u - 4 u = 31 - 10
3 u = 21
1 u = 21 ÷ 3 = 7
Number of silver beads that Victoria had at first
= 4 u + 31
= 4 x 7 + 31
= 28 + 31
= 59
Number of beads that Victoria had at first
= 2 x 59
= 118
Answer(s): 118