Question

At a farmer’s market, Khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for $28. Genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for $28.50. Let t represent the cost of one pound of tomatoes. Let b represent the cost of one pound of broccoli. Which system of equations will solve for t and b?

A. 4t + 7b = 28.50, 5t + 2b = 28.00
B. 5t + 7b = 28.50, 4t + 2b = 28.00
C. 4t + 7b = 28.00, 5t + 2b = 28.50
D. 5t + 4b = 28.50, 7t + 2b = 28.00

Answer 1

The system of equations that will solve for t and b is 5t + 7b = 28.50, 4t + 2b = 28.00.

Step-by-step explanation:

The system of equations that will solve for t and b is B. 5t + 7b = 28.50, 4t + 2b = 28.00.

To determine the cost of one pound of tomatoes (t) and one pound of broccoli (b), we need to solve the system of equations. The first equation represents the total cost of tomatoes and broccoli bought by Khalid, and the second equation represents the total cost of tomatoes and broccoli bought by Genevieve.

By solving this system of equations, we can find the values of t and b, which represent the cost per pound of tomatoes and broccoli respectively.