Question 4.2.5: Write “the sum of an unknown and 6, when divided by 15, is e......

Write “the sum of an unknown and 6, when divided by 15, is equal to 7” as an equation, using r as the variable.

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 \begin{matrix}^{\mathbf{The\ sum\ of\ an}}_{\mathbf{unknown\ and\ 6}} & ^{\mathbf{when\ divided}}_{\mathbf{\ \ \ \ \ \ \ \ \ by\ 15}}& ^{\mathbf{\ \ \ \ \ \ is}}_{\mathbf{equal\ to}}& ^{}_{\mathbf{7.}} \\ \mathbf{\downarrow} & \ \ \ \mathbf{\downarrow} & \mathbf{\downarrow} & \mathbf{\downarrow} \\ (r + 6) & \div 15&= &7 \end{matrix}

Simplify and solve the equation.

             (r + 6) ÷ 15 = 7

(r + 6) ÷ 15 • 15 = 7 • 15      Multiply both sides by 15.

                       r + 6 = 105

                r + 6 – 6 = 105 – 6     Subtract 6 from both sides.

                            r = 99

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