Sabrina bought some beads. She gave
17 of the beads to her brother and sold
25 of the remaining beads. After that, she bought another 102 beads and had the same number of beads that she bought at first. How many beads did Sabrina buy at first?
| Her brother |
Remaining beads |
Bought beads |
Total |
1x5 =
5 u |
6x5 =
30 u |
|
7x5 =
35 u |
| |
Sold |
Left |
|
|
| |
2x6 |
3x6 |
|
|
| 5 u |
12 u |
18 u |
102 |
|
The remaining number of beads before Sabrina bought another 102 beads is repeated. Make the remaining number of beads the same. LCM of 6 and 5 is 30.
Total number of beads at first = 35 u
Number of beads that Sabrina had left and bought after that = 18 u + 102
35 u = 18 u + 102
35 u - 18 u = 102
17 u = 102
1 u = 102 ÷ 17 = 6
Total number of beads at first
= 35 u
= 35 x 6
= 210
Answer(s): 210
