Question 4.2.4: Translate “the product of 5 and a number decreased by 8 is 1......
Translate “the product of 5 and a number decreased by 8 is 100” into an equation. Then, solve the equation.
Step-by-Step
Use the letter y as the variable and translate as follows.
\begin{matrix}\pmb{ \text{The product of 5}}&&\pmb{\text{and a number}}&\pmb{\text{decreased by}} &\pmb{8}&\pmb{\text{is}}&\pmb{\text{100}}.\\\downarrow &↴&\downarrow &\downarrow &\downarrow &\downarrow & &\downarrow \\5~~~~~~&.&(y&-&8)&=&100 \end{matrix}
Simplify and complete the solution of the equation.
5 • (y – 8) = 100
5y – 40 = 100 Apply the distributive property.
5y = 140 Add 40 to both sides.
y = 28 Divide by 5.
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