Olivia bought some beads. She gave
16 of the beads to her sister and sold
56 of the remaining beads. After that, she bought another 93 beads and had the same number of beads that she bought at first. How many beads did Olivia buy at first?
| Her sister |
Remaining beads |
Bought beads |
Total |
1x6 =
6 u |
5x6 =
30 u |
|
6x6 =
36 u |
| |
Sold |
Left |
|
|
| |
5x5 |
1x5 |
|
|
| 6 u |
25 u |
5 u |
93 |
|
The remaining number of beads before Olivia bought another 93 beads is repeated. Make the remaining number of beads the same. LCM of 5 and 6 is 30.
Total number of beads at first = 36 u
Number of beads that Olivia had left and bought after that = 5 u + 93
36 u = 5 u + 93
36 u - 5 u = 93
31 u = 93
1 u = 93 ÷ 31 = 3
Total number of beads at first
= 36 u
= 36 x 3
= 108
Answer(s): 108
