Irene bought some beads. She gave
15 of the beads to her cousin and sold
25 of the remaining beads. After that, she bought another 130 beads and had the same number of beads that she bought at first. How many beads did Irene buy at first?
| Her cousin |
Remaining beads |
Bought beads |
Total |
1x5 =
5 u |
4x5 =
20 u |
|
5x5 =
25 u |
| |
Sold |
Left |
|
|
| |
2x4 |
3x4 |
|
|
| 5 u |
8 u |
12 u |
130 |
|
The remaining number of beads before Irene bought another 130 beads is repeated. Make the remaining number of beads the same. LCM of 4 and 5 is 20.
Total number of beads at first = 25 u
Number of beads that Irene had left and bought after that = 12 u + 130
25 u = 12 u + 130
25 u - 12 u = 130
13 u = 130
1 u = 130 ÷ 13 = 10
Total number of beads at first
= 25 u
= 25 x 10
= 250
Answer(s): 250
