Roshel bought some beads. She gave
15 of the beads to her cousin and sold
25 of the remaining beads. After that, she bought another 117 beads and had the same number of beads that she bought at first. How many beads did Roshel buy at first?
| Her cousin |
Remaining beads |
Bought beads |
Total |
1x5 =
5 u |
4x5 =
20 u |
|
5x5 =
25 u |
| |
Sold |
Left |
|
|
| |
2x4 |
3x4 |
|
|
| 5 u |
8 u |
12 u |
117 |
|
The remaining number of beads before Roshel bought another 117 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 Roshel had left and bought after that = 12 u + 117
25 u = 12 u + 117
25 u - 12 u = 117
13 u = 117
1 u = 117 ÷ 13 = 9
Total number of beads at first
= 25 u
= 25 x 9
= 225
Answer(s): 225
