7
QuizMultiple Choice

Problem Solving with Systems — Quiz

Question 7 • Mathematics 8

At a farmer’s market, Khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for 28 dollars Genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for 28 point 5 0 dollars 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
A
5 t plus 7 b is equal to 28 point 5 0 4 t plus 2 b is equal to 28 point 0 0
B
4 t plus 7 b is equal to 28 point 5 0 5 t plus 2 b is equal to 28 point 0 0
C
5 t plus 4 b is equal to 28 point 5 0 7 t plus 2 b is equal to 28 point 0 0
D
4 t plus 7 b is equal to 28 point 0 0 5 t plus 2 b is equal to 28 point 5 0

Explanation

For Khalid, 4 pounds of tomatoes cost 4t and 7 pounds of broccoli cost 7b, totaling $28.00, so 4t + 7b = 28.00. For Genevieve, 5 pounds of tomatoes and 2 pounds of broccoli total $28.50, so 5t + 2b = 28.50. Choice D matches both purchases.

AI-written and checked against the verified answer.

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