Question

A car dealership is holding a contest for people who are in line before 6 a.m. The people who are 56 places before and after the 203rd person win a new car. Based on this information, which equation can be used to find the two winners of the new car?

A. |203 - 56| = x
B. |x - 203| = 56
C. |x - 56| = 203
D. |203 + 56| = x

Answer 1

The equation that can be used to find the two winners of the new car is |x - 203| = 56.

Step-by-step explanation:

The equation that can be used to find the two winners of the new car is option B. |x - 203| = 56.

Let x represent the position of a person in line. According to the information given in the question, the winners are 56 places before and after the 203rd person. So, if we subtract 56 from 203, we get the position of the person who is 56 places before the 203rd person. And if we add 56 to 203, we get the position of the person who is 56 places after the 203rd person.

Therefore, the equation |x - 203| = 56 represents the positions of the two winners of the new car.