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Luis and Kelly have a total of 32 dollars. If Luis has
x dollars and Kelly has
y dollars, which of the following equations best models this relationship?
Choose 1 answer:
(A)
x-y=32
(B)
x+y=32
(C)
xy=32
(D)
(x)/(y)=32

Luis and Kelly have a total of $32$ dollars. If Luis has $x$ dollars and Kelly has $y$ dollars, which of the following equations best models this relationship? $\newline$ Choose $1$ answer: $\newline$ (A) $x-y=32$ $\newline$ (B) $x+y=32$ $\newline$ (C) $x y=32$ $\newline$ (D) $\frac{x}{y}=32$

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Write a linear inequality: word problems

Full solution

Q. Luis and Kelly have a total of

32

dollars. If Luis has

x

dollars and Kelly has

y

dollars, which of the following equations best models this relationship?

\newline

Choose

1

answer:

\newline

(A)

x-y=32

\newline

(B)

x+y=32

\newline

(C)

x y=32

\newline

(D)

\frac{x}{y}=32

Understand the problem: Understand the problem. $\newline$ We are given that Luis has $x$ dollars and Kelly has $y$ dollars. The total amount of money they have together is $32$ dollars. We need to find an equation that represents this situation.
Translate the problem: Translate the problem into an equation. $\newline$ Since the total amount of money is the sum of the amounts that Luis and Kelly have, we can write the equation as $x + y = 32$ .
Check the answer options: Check the answer options. $\newline$ (A) $x - y = 32$ would mean Luis has $32$ dollars more than Kelly, which is not what the problem states. $\newline$ (B) $x + y = 32$ correctly represents the total amount of money as the sum of Luis's and Kelly's amounts. $\newline$ (C) $xy = 32$ would mean the product of Luis's and Kelly's amounts is $32$ , which is not relevant to the total sum. $\newline$ (D) $(x)/(y) = 32$ would mean the ratio of Luis's money to Kelly's money is $32$ , which is not what the problem states.
Choose the correct answer: Choose the correct answer. $\newline$ Based on the analysis in Step $3$ , the correct equation that models the relationship is (B) $x + y = 32$ .

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