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?

Verified Answer :

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

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