Final answer:
To determine how many pounds of apples and raspberries Farmer Bob sold, we set up a system of equations based on the given prices and total sales. After solving the equations, we find that Bob sold 28 pounds of apples and 15 pounds of raspberries, which is not reflected in the provided choices.
Step-by-step explanation:
Farmer Bob made $65.50 from selling 43 pounds of apples and raspberries. If we let x represent the pounds of apples he sold and y represent the pounds of raspberries sold, we can set up the following equations based on prices: 1.00x + 2.50y = 65.50 and x + y = 43. Solving these equations simultaneously will give us the amounts of apples and raspberries sold.
Starting with the second equation x + y = 43, we can solve for y by subtracting x from both sides, yielding y = 43 - x. Next, we substitute this expression for y into the first equation: 1.00x + 2.50(43 - x) = 65.50.
Now we can solve for x: 1.00x + 107.50 - 2.50x = 65.50 leads to -1.50x = -42.00, which simplifies to x = 28. This means Farmer Bob sold 28 pounds of apples. To find the pounds of raspberries, substitute x back into the equation for y: y = 43 - 28, which results in y = 15, meaning Farmer Bob sold 15 pounds of raspberries. The correct answer is not listed among the options given, so there might be a typo in the question or choices provided.