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Poppy the dog weighs
p pounds, and Yumi the cat weighs
y pounds. If Poppy weighs 36 more pounds than Yumi does, which of the following equations correctly describes the relationship between their weights?
Choose 1 answer:
(A)
p+y=36
(B)
p+36=y
(C)
p-y=36
(D)
y-p=36

Poppy the dog weighs $p$ pounds, and Yumi the cat weighs $y$ pounds. If Poppy weighs $36$ more pounds than Yumi does, which of the following equations correctly describes the relationship between their weights? $\newline$ Choose $1$ answer: $\newline$ (A) $p+y=36$ $\newline$ (B) $p+36=y$ $\newline$ (C) $p-y=36$ $\newline$ (D) $y-p=36$

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Solve word problems by finding two-variable equations

Full solution

Q. Poppy the dog weighs

p

pounds, and Yumi the cat weighs

y

pounds. If Poppy weighs

36

more pounds than Yumi does, which of the following equations correctly describes the relationship between their weights?

\newline

Choose

1

answer:

\newline

(A)

p+y=36

\newline

(B)

p+36=y

\newline

(C)

p-y=36

\newline

(D)

y-p=36

Translate Problem: Let's denote Poppy's weight as $p$ pounds and Yumi's weight as $y$ pounds. According to the problem, Poppy weighs $36$ more pounds than Yumi. This can be translated into an equation where Poppy's weight ( $p$ ) is equal to Yumi's weight ( $y$ ) plus $36$ pounds.
Write Equation: We can write this relationship as an equation: $p = y + 36$ . This equation states that if you take Yumi's weight and add $36$ pounds, you will get Poppy's weight.
Check Given Options: Now, let's check the given options to see which one matches our equation: $\newline$ (A) $p + y = 36$ (This implies that the sum of their weights is $36$ , which is not what the problem states.) $\newline$ (B) $p + 36 = y$ (This implies that if you add $36$ to Poppy's weight, you get Yumi's weight, which is the opposite of what the problem states.) $\newline$ (C) $p - y = 36$ (This is the correct representation of the relationship, as it states that Poppy's weight is $36$ pounds more than Yumi's weight.) $\newline$ (D) $y - p = 36$ (This implies that Yumi weighs $36$ pounds more than Poppy, which is incorrect.)
Identify Correct Equation: The correct equation that describes the relationship between Poppy's and Yumi's weights is $p - y = 36$ , which is option $(C)$ .

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