Q. 2.22 - Elementary Algebra

Question

Translate into an algebraic equation and solve: Sam and Henry are roommates. Together, they have 68 books. Sam has 26 books. How many books does Henry have?

Step-by-Step Solution

Answer

The translated equation is $B+26=68$  and$\text{The number of books Henry have is 42 books}$

Step 1. Given information

Translate into an algebraic equation and solve: Sam and Henry are roommates. Together, they have 68 books. Sam has 26 books. How many books does Henry have 

Step 2. Explanation

$\begin{array}{l}\text{Given: Sam has 26 books.}\\ \text{Sam and Henry tohether they have 68 books}\\ \text{Let B =The number of books Henry have .}\\ \text{According to the given information}\\ \Rightarrow B+26=68 \text{Solve}\\ \text{Subtract 26 from each sides}\\ \Rightarrow B+26-26=68-26\\ \Rightarrow B=68-26\\ \Rightarrow B=42\\ \text{The number of books Henry have is 42 books}\end{array}$