PSLE Erika had an equal number of blue and yellow beads. She gave 33 blue beads and 27 yellow beads to Mary. She gave the remaining beads to Nora. Nora was given 4 blue beads for every 7 yellow beads. How many beads did Erika have at first?
|
Blue |
Yellow |
Before |
4 u + 33 |
7 u + 27 |
Change |
- 33 |
- 27 |
After |
4 u |
7 u |
The number of blue and yellow beads is equal at first.
4 u + 33 = 7 u + 27
7 u - 4 u = 33 - 27
3 u = 6
1 u = 6 ÷ 3 = 2
Number of blue beads that Erika had at first
= 4 u + 33
= 4 x 2 + 33
= 8 + 33
= 41
Number of beads that Erika had at first
= 2 x 41
= 82
Answer(s): 82