Lois has $$x$$ dollars more than Jim has, and together they have a total of $$y$$ dollars. Which of the following repres

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Lois has $$x$$ dollars more than Jim has, and together they have a total of $$y$$ dollars. Which of the following repres

by Vincen » Wed Oct 06, 2021 7:17 am

00:00

A

B

C

D

E

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Lois has $$x$$ dollars more than Jim has, and together they have a total of $$y$$ dollars. Which of the following represents the number of dollars that Jim has?

(A) $$\dfrac{y - x}2$$

(B) $$y - \dfrac{x}2$$

(C) $$\dfrac{y}2 - x$$

(D) $$2y - x$$

(E) $$y - 2x$$

Source: Official Guide

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Re: Lois has $$x$$ dollars more than Jim has, and together they have a total of $$y$$ dollars. Which of the following re

by [email protected] » Wed Oct 06, 2021 11:57 am
Vincen wrote:
Wed Oct 06, 2021 7:17 am
Lois has $$x$$ dollars more than Jim has, and together they have a total of $$y$$ dollars. Which of the following represents the number of dollars that Jim has?

(A) $$\dfrac{y - x}2$$

(B) $$y - \dfrac{x}2$$

(C) $$\dfrac{y}2 - x$$

(D) $$2y - x$$

(E) $$y - 2x$$

Source: Official Guide
Let J = number of dollars that Jim has

Lois has x dollars more than Jim has
So, J + x = number of dollars that Lois has

Together they have a total of y dollars
So, (Jim's $) + (Lois'$) = y
Or: J + (J+x) = y
Simplify: 2J + x = y

Which of the following represents the number of dollars that Jim has?
Solve 2J + x = y for J
Subtract x from both sides to get: 2J = y - x
Divide both sides by 2 to get: (y-x)/2