The graph below shows the best-selling albums of all time....

The graph below shows the best-selling albums of all time. Thriller and The Wall had sales worth a total of $\$ 50$ million. Thriller brought in $\$ 4$ million more than The Wall. Find the amount of sales that each album brought in.

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Key Concepts

Translation of Word Problems into Algebraic Equations

This concept involves converting a verbal description into algebraic expressions or equations. It requires identifying key details and relationships described in the problem, such as totals, differences, or ratios, and then representing these details mathematically. Mastery of this skill is critical for setting up the correct system of equations that can be solved using algebraic methods.

System of Linear Equations

This concept involves dealing with two or more equations that have common variables. It is used to model situations where multiple relationships between unknown quantities must be satisfied simultaneously. In the context of the problem, it allows us to set up equations based on the total sales and the difference in sales between two items.

Substitution Method

The substitution method is a technique for solving systems of equations where one equation is rearranged to express one variable in terms of the other. This expression is then substituted into the other equation, simplifying the problem to a single equation with one unknown. This method is particularly useful in problems that involve straightforward relationships, such as one quantity exceeding another by a fixed amount.

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