A grocer divide 230 kg of oranges into 5 kg and 3 kg bags of oranges. If the grocer has 18 more 3 kg bags than 5 kg bags of oranges, how many bags of oranges does he have in all?

1 answer

Let x be the number of 5 kg bags of oranges.
Therefore, the number of 3 kg bags of oranges is x + 18.

The total weight of the oranges is:
5x + 3(x + 18) = 230
5x + 3x + 54 = 230
8x = 176
x = 22

The number of 5 kg bags of oranges is 22.
The number of 3 kg bags of oranges is 22 + 18 = 40.

Therefore, the grocer has a total of 22 + 40 = 62 bags of oranges.