Jane bought some marbles. She gave
15 of the marbles to her sister and sold
25 of the remaining marbles. After that, she bought another 104 marbles and had the same number of marbles that she bought at first. How many marbles did Jane buy at first?
| Her sister |
Remaining marbles |
Bought marbles |
Total |
1x5 =
5 u |
4x5 =
20 u |
|
5x5 =
25 u |
| |
Sold |
Left |
|
|
| |
2x4 |
3x4 |
|
|
| 5 u |
8 u |
12 u |
104 |
|
The remaining number of marbles before Jane bought another 104 marbles is repeated. Make the remaining number of marbles the same. LCM of 4 and 5 is 20.
Total number of marbles at first = 25 u
Number of marbles that Jane had left and bought after that = 12 u + 104
25 u = 12 u + 104
25 u - 12 u = 104
13 u = 104
1 u = 104 ÷ 13 = 8
Total number of marbles at first
= 25 u
= 25 x 8
= 200
Answer(s): 200
