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? 4 t 7 b = 28. 50. 5 t 2 b = 28. 0. 5 t 7 b = 28. 50. 4 t 2 b = 28. 0. 4 t 7 b = 28. 0. 5 t 2 b = 28. 50. 5 t 4 b = 28. 50. 7 t 2 b = 28. 0.

Answer 1

The system of equations that can represent the system is 4t+7b=28 and 5t+2b=28.50.

Given to us

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.

What is the expression that expresses the total cost of Kalid's purchase?

We know that the cost of a pound of tomatoes is t while for one pound of broccoli it is b. therefore,

4 pounds of tomatoes + 7 pounds of broccoli = $28

4(t) + 7(b) = 28

4t + 7b = 28

What is the expression that expresses the total cost of Genevieve's purchase?

We know that the cost of a pound of tomatoes is t while for one pound of broccoli it is b. therefore,

5 pounds of tomatoes + 2 pounds of broccoli = $28.50

5(t) + 2(b) = 28.50

5t + 2b = 28.50

Hence, the system of equations that can represent the system is 4t+7b=28 and 5t+2b=28.50.

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