Vanessa bought some marbles. She gave
15 of the marbles to her sister and sold
56 of the remaining marbles. After that, she bought another 130 marbles and had the same number of marbles that she bought at first. How many marbles did Vanessa buy at first?
| Her sister |
Remaining marbles |
Bought marbles |
Total |
1x3 =
3 u |
4x3 =
12 u |
|
5x3 =
15 u |
| |
Sold |
Left |
|
|
| |
5x2 |
1x2 |
|
|
| 3 u |
10 u |
2 u |
130 |
|
The remaining number of marbles before Vanessa bought another 130 marbles is repeated. Make the remaining number of marbles the same. LCM of 4 and 6 is 12.
Total number of marbles at first = 15 u
Number of marbles that Vanessa had left and bought after that = 2 u + 130
15 u = 2 u + 130
15 u - 2 u = 130
13 u = 130
1 u = 130 ÷ 13 = 10
Total number of marbles at first
= 15 u
= 15 x 10
= 150
Answer(s): 150
