To solve the problem:

Let's denote:

• $x$ as the pounds of grapes sold.
• $x + 12$ as the pounds of strawberries sold since Brooklyn sold 12 more pounds of strawberries.

Given prices:

• Grapes are sold for $1.75 per pound.
• Strawberries are sold for $3.75 per pound.

The total revenue from selling grapes and strawberries is $155.

Setting up the equation:

The revenue from selling grapes is $1.75x$. The revenue from selling strawberries is $3.75(x + 12)$.

So, we have the equation: $1.75x + 3.75(x + 12) = 155$

Solving the equation:

1. Distribute the terms: $1.75x + 3.75x + 45 = 155$
2. Combine like terms: $5.5x + 45 = 155$
3. Subtract 45 from both sides: $5.5x = 110$
4. Divide both sides by 5.5: $x = 20$

This means Brooklyn sold:

• $x = 20$ pounds of grapes.
• $x + 12 = 20 + 12 = 32$ pounds of strawberries.

Final Answer:

There were 32 pounds of strawberries sold and 20 pounds of grapes sold.

Would you like further clarification or details on any step?

5 Related Questions:

1. What would happen to the total revenue if the price of grapes increased to $2.00 per pound?
2. How many pounds of each fruit would be sold if Brooklyn had sold 15 more pounds of strawberries than grapes instead?
3. If the total revenue target was $200 instead, how many pounds of each fruit would be sold?
4. How would the equation change if strawberries were sold at $4 per pound?
5. What percentage of the total revenue was contributed by strawberries?

Tip:

When setting up equations for word problems, clearly define variables and translate the situation step-by-step to form accurate expressions and equations.