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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?

Respuesta :

BluLily123
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
calculista

Answer:

The system of equations is equal to

[tex]4t+7b=28[/tex]

[tex]5t+2b=28.50[/tex]

Step-by-step explanation:

Let

t------> the cost of one pound of tomatoes

b-----> the cost of one pound of broccoli

we know that

[tex]4t+7b=28[/tex] -----> equation A

[tex]5t+2b=28.50[/tex] -----> 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 [tex](5.32,0.96)[/tex]

see the attached figure

therefore

[tex]t=\$5.32[/tex]----> the cost of one pound of tomatoes

[tex]b=\$0.96[/tex] ----> the cost of one pound of broccoli

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