Examkin

Question

Difficulty: EasyBasic Algebraic Expressions and One-Step Equations

A group of friends agrees to share the total cost, dd dollars, of renting a cabin equally. There are 6 friends in the group, and each friend's share of the cost is 145.Whichofthefollowingequationscanbesolvedtofind145. Which of the following equations can be solved to find d$?

  1. A
    d+6=145d + 6 = 145
  2. B
    d−6=145d - 6 = 145
  3. C
    6d=1456d = 145
  4. d6=145\frac{d}{6} = 145Answer
  5. E
    6d=145\frac{6}{d} = 145

Answer

The equation d6=145\frac{d}{6} = 145 can be solved to find the total cost.
Because the total cost of renting the cabin, dd dollars, is split equally among 6 friends, each friend's individual share is represented by the total cost divided by 6, which is written as d6\frac{d}{6}. Since each friend's share is given as 145,thisexpressionissetequalto145,resultingintheequation145, this expression is set equal to 145, resulting in the equation \frac{d}{6} = 145$.

Step-by-Step Solution

1
Determine the relationship between the total cost, the number of friends sharing the cost, and each friend's individual share.
Since the cost is shared equally, the individual share is the total cost, dd, divided by the number of friends, 6.
This translates the sharing scenario into the algebraic expression d6\frac{d}{6}.
2
Set the algebraic expression equal to the known individual share value.
d6=145\frac{d}{6} = 145
The problem states that each friend's share is $145, so the expression representing each share must equal 145.

Key Concept

Translating real-world sharing scenarios into one-step equations involving division.
Rate this question

Topics

Basic Algebraic Expressions and One-Step Equations

More questions from this topic