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?
Hey fellow student lol, the answer is 4t+7b=28 and 5t+2b=28.50. I hope this is what you were looking for :D
Answer:
The system of equations is equal to
\(4t+7b=28\)
\(5t+2b=28.50\)
Step-by-step explanation:
Let
t------> the cost of one pound of tomatoes
b-----> the cost of one pound of broccoli
we know that
\(4t+7b=28\) -----> equation A
\(5t+2b=28.50\) -----> equation B
using a graphing tool
The solution of the system of equations is equal to the intersection point both graphs
The intersection point is \((5.32,0.96)\)
see the attached figure
therefore
\(t=\$5.32\)----> the cost of one pound of tomatoes
\(b=\$0.96\) ----> the cost of one pound of broccoli