## Prealgebra (7th Edition)

Published by Pearson

# Chapter 3 - Section 3.4 - Linear Equations in One Variable and Problem Solving - Exercise Set - Page 198: 46

#### Answer

The Cardinals' score is 82. The Wolverines' score is 76.

#### Work Step by Step

Let $c$ be the score of the Cardinals. The Wolverines' score is $c-6$. $c+(c-6)=158$ $\longrightarrow$combine like terms $2c-6=158$ $\longrightarrow$addition property $2c-6+6=158+6$ $\longrightarrow$simplify $2c=164$ $\longrightarrow$multiplication property $2c\div2=164\div2$ $\longrightarrow$simplify $c=82$ $c-6=82-6=76$

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