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?

Answer 1

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 2

The system of equations is equal to

`4t+7b=28`

`5t+2b=28.50`

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