Zoe bought some coins. She gave
16 of the coins to her brother and sold
56 of the remaining coins. After that, she bought another 310 coins and had the same number of coins that she bought at first. How many coins did Zoe buy at first?
| Her brother |
Remaining coins |
Bought coins |
Total |
1x6 =
6 u |
5x6 =
30 u |
|
6x6 =
36 u |
| |
Sold |
Left |
|
|
| |
5x5 |
1x5 |
|
|
| 6 u |
25 u |
5 u |
310 |
|
The remaining number of coins before Zoe bought another 310 coins is repeated. Make the remaining number of coins the same. LCM of 5 and 6 is 30.
Total number of coins at first = 36 u
Number of coins that Zoe had left and bought after that = 5 u + 310
36 u = 5 u + 310
36 u - 5 u = 310
31 u = 310
1 u = 310 ÷ 31 = 10
Total number of coins at first
= 36 u
= 36 x 10
= 360
Answer(s): 360
