Raeann bought some marbles. She gave
17 of the marbles to her sister and sold
35 of the remaining marbles. After that, she bought another 276 marbles and had the same number of marbles that she bought at first. How many marbles did Raeann buy at first?
| Her sister |
Remaining marbles |
Bought marbles |
Total |
1x5 =
5 u |
6x5 =
30 u |
|
7x5 =
35 u |
| |
Sold |
Left |
|
|
| |
3x6 |
2x6 |
|
|
| 5 u |
18 u |
12 u |
276 |
|
The remaining number of marbles before Raeann bought another 276 marbles is repeated. Make the remaining number of marbles the same. LCM of 6 and 5 is 30.
Total number of marbles at first = 35 u
Number of marbles that Raeann had left and bought after that = 12 u + 276
35 u = 12 u + 276
35 u - 12 u = 276
23 u = 276
1 u = 276 ÷ 23 = 12
Total number of marbles at first
= 35 u
= 35 x 12
= 420
Answer(s): 420
