Hazel bought some beads. She gave
16 of the beads to her brother and sold
56 of the remaining beads. After that, she bought another 217 beads and had the same number of beads that she bought at first. How many beads did Hazel buy at first?
| Her brother |
Remaining beads |
Bought beads |
Total |
1x6 =
6 u |
5x6 =
30 u |
|
6x6 =
36 u |
| |
Sold |
Left |
|
|
| |
5x5 |
1x5 |
|
|
| 6 u |
25 u |
5 u |
217 |
|
The remaining number of beads before Hazel bought another 217 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 Hazel had left and bought after that = 5 u + 217
36 u = 5 u + 217
36 u - 5 u = 217
31 u = 217
1 u = 217 ÷ 31 = 7
Total number of beads at first
= 36 u
= 36 x 7
= 252
Answer(s): 252
