PSLE Jean had an equal number of black and white beads. She gave 35 black beads and 32 white beads to Mary. She gave the remaining beads to Nora. Nora was given 3 black beads for every 6 white beads. How many beads did Jean have at first?
|
Black |
White |
Before |
3 u + 35 |
6 u + 32 |
Change |
- 35 |
- 32 |
After |
3 u |
6 u |
The number of black and white beads is equal at first.
3 u + 35 = 6 u + 32
6 u - 3 u = 35 - 32
3 u = 3
1 u = 3 ÷ 3 = 1
Number of black beads that Jean had at first
= 3 u + 35
= 3 x 1 + 35
= 3 + 35
= 38
Number of beads that Jean had at first
= 2 x 38
= 76
Answer(s): 76