Question

On a car trip sam drove m miles, Kara drove twice as many as sam, and Darin drove 20 fewer miles then Kara. In terms of m how many miles did Darin drive?
A. \[2m + 20\]
B. \[2m - 20\]
C. \[\dfrac{m}{2} + 20\]
D. \[\dfrac{{m + 20}}{2}\]

Answer 1

Hint: We are required to form an equation in terms of’ m’ for how many miles Darin has to drive, Let us gather the hints given in the question that m miles given by sam and twice that has been driven by Kara, and as of Darin its 20 miles less.

Complete step by step answer:
English and mathematics can be thought of as two separate languages, each with its own symbols, grammar, and style rules. Setting up an equation is similar to translating a paragraph between two languages. The result should contain the same information as the original piece. A direct translation is not always possible, because words that exist in one language may not exist in another, or a word-for-word translation may not make sense in the final language.
Given that
Number of miles driven by Sam = m
As Kara drove twice as many miles as Sam,
Number of miles drove by Kara = 2m
We can see that Darin drove 20 fewer miles than Kara, which is \[2m - 20\]
Hence, Number of miles drove by Darin = Number of miles drove by Kara − 20
= \[2m - 20\]

So, the correct answer is “Option B”.

Note: Basic Steps to Setting Up Equations
1. Determine what the question is asking.
2. Write down the relevant information in simple statements.
3. Assign symbols to unknown values that need to be found.
4. Determine how the statements relate to each other mathematically.