Question
\( 1 \leftarrow \begin{array}{l}\text { Translate into an equation. Do not solve. A motorcycle shop maintains an inventory of five times as many new blikes as used bikes. Currenlly there are } 115 \text { now bibes. Use } \\ \text { n to represent the unknown number of used bikes. } \\ \text { What is the translated equation? }\end{array} \)
Ask by Stuart Hodgson. in the United States
Feb 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The translated equation is \( 5n = 115 \).
Solution
Let n represent the number of used bikes. Since there are five times as many new bikes as used bikes, the number of new bikes is 5n. Given that there are 115 new bikes, the translated equation is:
5n = 115.
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Simplify this solution The Deep Dive
The translated equation can be written as: \( 5n + n = 115 \). Here, \( n \) represents the number of used bikes, and \( 5n \) represents the number of new bikes, together totaling 115 bikes in the inventory. In this scenario, it’s a good idea to remember the importance of clearly defining variables. Using \( n \) for used bikes simplifies the equation, making it easier to manipulate once you decide to solve it. If you’re not careful with variable assignments, the entire problem could become unnecessarily tangled!
