Hazel bought some marbles. She gave
15 of the marbles to her sister and sold
35 of the remaining marbles. After that, she bought another 204 marbles and had the same number of marbles that she bought at first. How many marbles did Hazel buy at first?
| Her sister |
Remaining marbles |
Bought marbles |
Total |
1x5 =
5 u |
4x5 =
20 u |
|
5x5 =
25 u |
| |
Sold |
Left |
|
|
| |
3x4 |
2x4 |
|
|
| 5 u |
12 u |
8 u |
204 |
|
The remaining number of marbles before Hazel bought another 204 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 Hazel had left and bought after that = 8 u + 204
25 u = 8 u + 204
25 u - 8 u = 204
17 u = 204
1 u = 204 ÷ 17 = 12
Total number of marbles at first
= 25 u
= 25 x 12
= 300
Answer(s): 300
