Gwen bought some beads. She gave
14 of the beads to her sister and sold
35 of the remaining beads. After that, she bought another 154 beads and had the same number of beads that she bought at first. How many beads did Gwen buy at first?
| Her sister |
Remaining beads |
Bought beads |
Total |
1x5 =
5 u |
3x5 =
15 u |
|
4x5 =
20 u |
| |
Sold |
Left |
|
|
| |
3x3 |
2x3 |
|
|
| 5 u |
9 u |
6 u |
154 |
|
The remaining number of beads before Gwen bought another 154 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 Gwen had left and bought after that = 6 u + 154
20 u = 6 u + 154
20 u - 6 u = 154
14 u = 154
1 u = 154 ÷ 14 = 11
Total number of beads at first
= 20 u
= 20 x 11
= 220
Answer(s): 220
