Lucy bought some beads. She gave
14 of the beads to her brother and sold
25 of the remaining beads. After that, she bought another 99 beads and had the same number of beads that she bought at first. How many beads did Lucy buy at first?
| Her brother |
Remaining beads |
Bought beads |
Total |
1x5 =
5 u |
3x5 =
15 u |
|
4x5 =
20 u |
| |
Sold |
Left |
|
|
| |
2x3 |
3x3 |
|
|
| 5 u |
6 u |
9 u |
99 |
|
The remaining number of beads before Lucy bought another 99 beads is repeated. Make the remaining number of beads the same. LCM of 3 and 5 is 15.
Total number of beads at first = 20 u
Number of beads that Lucy had left and bought after that = 9 u + 99
20 u = 9 u + 99
20 u - 9 u = 99
11 u = 99
1 u = 99 ÷ 11 = 9
Total number of beads at first
= 20 u
= 20 x 9
= 180
Answer(s): 180
