Math Problem Statement

A restaurant has benches and chairs arranged around dining tables. The restaurant has 3 times as many chairs as benches. The restaurant has 34 more chairs than benches. Which system of equations can be used to determine the number of benches, x , and chairs, y , that the restaurant has arranged around dining tables? Responses x = 3 y y = 34 + x x = 3 y y = 34 − − x y = 3 x y = 34 − − x

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Systems of Equations

Formulas

y = 3x
y = x + 34

Theorems

Substitution Method
System of Linear Equations

Suitable Grade Level

Grades 7-8