Rachel bought some beads. She gave
15 of the beads to her brother and sold
25 of the remaining beads. After that, she bought another 156 beads and had the same number of beads that she bought at first. How many beads did Rachel buy at first?
Her brother |
Remaining beads |
Bought beads |
Total |
1x5 = 5 u |
4x5 = 20 u |
|
5x5 = 25 u |
|
Sold |
Left |
|
|
|
2x4 |
3x4 |
|
|
5 u |
8 u |
12 u |
156 |
|
The remaining number of beads before Rachel bought another 156 beads is repeated. Make the remaining number of beads the same. LCM of 4 and 5 is 20.
Total number of beads at first = 25 u
Number of beads that Rachel had left and bought after that = 12 u + 156
25 u = 12 u + 156
25 u - 12 u = 156
13 u = 156
1 u = 156 ÷ 13 = 12
Total number of beads at first
= 25 u
= 25 x 12
= 300
Answer(s): 300