10
QuizMultiple Choice

Solving Multi-Step Equations — Quiz

Question 10 • Grade 7 Mathematics

Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?

Answer
A
1 fourth times open paren 2 plus v close paren is equal to 3 ; v is equal to 4 pounds of chopped vegetables
B
1 fourth times open paren 2 plus v close paren is equal to 3 ; v is equal to 10 pounds of chopped vegetables
C
4 times open paren 2 plus v close paren is equal to 3 ; v is equal to 5 pounds of chopped vegetables
D
4 times open paren 2 plus v close paren is equal to 3 ; v is equal to 1 pound of chopped vegetables

Explanation

Four equal portions weighing 3 pounds each make a total mixture of 4 × 3 = 12 pounds. The mixture contains 2 pounds of meat and v pounds of vegetables, so (2 + v) ÷ 4 = 3, which gives 2 + v = 12 and v = 10. Choice B shows the correct equation and 10 pounds of chopped vegetables.

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