PSLE Natalie had an equal number of blue and green beads. She gave 31 blue beads and 16 green beads to Mary. She gave the remaining beads to Nora. Nora was given 4 blue beads for every 7 green beads. How many beads did Natalie have at first?
|
Blue |
Green |
Before |
4 u + 31 |
7 u + 16 |
Change |
- 31 |
- 16 |
After |
4 u |
7 u |
The number of blue and green beads is equal at first.
4 u + 31 = 7 u + 16
7 u - 4 u = 31 - 16
3 u = 15
1 u = 15 ÷ 3 = 5
Number of blue beads that Natalie had at first
= 4 u + 31
= 4 x 5 + 31
= 20 + 31
= 51
Number of beads that Natalie had at first
= 2 x 51
= 102
Answer(s): 102