Emily bought some beads. She gave
17 of the beads to her cousin and sold
35 of the remaining beads. After that, she bought another 46 beads and had the same number of beads that she bought at first. How many beads did Emily buy at first?
| Her cousin |
Remaining beads |
Bought beads |
Total |
1x5 =
5 u |
6x5 =
30 u |
|
7x5 =
35 u |
| |
Sold |
Left |
|
|
| |
3x6 |
2x6 |
|
|
| 5 u |
18 u |
12 u |
46 |
|
The remaining number of beads before Emily bought another 46 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 Emily had left and bought after that = 12 u + 46
35 u = 12 u + 46
35 u - 12 u = 46
23 u = 46
1 u = 46 ÷ 23 = 2
Total number of beads at first
= 35 u
= 35 x 2
= 70
Answer(s): 70
