Answer:
I buy 4 food items and 7 non-food items from the store.
Step-by-step explanation:
The food items in the store are sold at $3 each and the non-food items are sold at $3 plus 5% tax.
So, the cost of each non-food items will be [tex]3(1 + \frac{5}{100}) = 3.15[/tex] dollars.
If we consider that I buy 1 food item, then I buy $(34.05 - 3) = $31.05 of non-food items which is not a multiple of $3.15.
If I buy 2 food items, then I buy $(31.05 - 3) = $28.05 of non-food items which is again not a multiple of $3.15.
If we consider that I buy 3 food items, then I buy $(28.05 - 3) = $25.05 of non-food items which is again not a multiple of $3.15.
If I buy 4 food items, then I but $(25.05 - 3) = $22.05 of non-food items which is finally a multiple of $3.15 as (3.15 × 7) = 22.05.
Therefore, I buy 4 food items and 7 non-food items from the store. (Answer)
