Final answer:
The woman originally had N750 before she spent 2/3 of her money on food and was left with N250, as the remaining amount represents 1/3 of her total money.
Step-by-step explanation:
To find out how much money the woman had originally before spending 2/3 of her money on food and being left with N250, we need to consider that the remaining N250 represents the final 1/3 of her total money. This means that each third of her money is worth N250.
So, to calculate her original total, we multiply the N250 by 3, which will give us the full amount before she made her purchases.
- 1/3 of original amount = N250
- Original amount = 3 × (1/3 of original amount)
- Original amount = 3 × N250
- Original amount = N750
Therefore, the woman originally had N750 before spending 2/3 of her money on food.