Jacob purchased pounds of grapes and pounds of strawberries from a farmer's market. The cost of each pound of grapes is $2.64 and the cost of each pound of strawberries is $3.09. If the store offered a discount of 10% on the final bill, what was the amount Jacob paid to buy the fruits? Ignore sales tax.

Question

Jacob purchased pounds of grapes and pounds of strawberries from a farmer's market. The cost of each pound of grapes is $2.64 and the cost of each pound of strawberries is $3.09. If the store offered a discount of 10% on the final bill, what was the amount Jacob paid to buy the fruits? Ignore sales tax.

Answer 1

Let the cost of grapes be x dollars and strawberries be y dollars.

We don't know the value of x or y yet, but we can find a relationship between them.
As per the problem knowledge, we know that the pounds of grapes is 2.64x dollars.
Similarly, pounds of strawberries is 3.09y dollars.
The total bill amount is x + y dollars.
The discount provided is 10% of the total amount which is, (10/100) * (x + y).
So, Jacob gets a discount of (10x + 10y)/100 dollars.
Thus, the amount Jacob paid after applying the discount is (x + y) - (10x + 10y)/100 dollars.
The amount Jacob paid = (x + y) - (10x + 10y)/100 dollars = 90(x + y)/100 dollars = 0.9(x + y) dollars. Answer: \boxed{0.9(x + y) \text{ dollars}}.