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Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. If
x is the number of friends at Jack's party, which of the following equations best describes the situation?
Choose 1 answer:
(A)
3x+50=2
(B)
2x+3=50
(C)
3x+2=50
(D)
3x-2=50

Jack's mother gave him $50$ chocolates to give to his friends at his birthday party. He gave $3$ chocolates to each of his friends and still had $2$ chocolates left. If $x$ is the number of friends at Jack's party, which of the following equations best describes the situation? $\newline$ Choose $1$ answer: $\newline$ (A) $3 x+50=2$ $\newline$ (B) $2 x+3=50$ $\newline$ (C) $3 x+2=50$ $\newline$ (D) $3 x-2=50$

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Write a linear inequality: word problems

Full solution

Q. Jack's mother gave him

50

chocolates to give to his friends at his birthday party. He gave

3

chocolates to each of his friends and still had

2

chocolates left. If

x

is the number of friends at Jack's party, which of the following equations best describes the situation?

\newline

Choose

1

answer:

\newline

(A)

3 x+50=2

\newline

(B)

2 x+3=50

\newline

(C)

3 x+2=50

\newline

(D)

3 x-2=50

Define variable x: Let's define the variable x as the number of friends at Jack's party. According to the problem, Jack gave $3$ chocolates to each friend. So the total number of chocolates given away is $3$ times the number of friends, which is $3x$ . After giving away these chocolates, Jack had $2$ chocolates left. We know that he started with $50$ chocolates. Therefore, the equation that represents this situation is the total chocolates Jack started with ( $50$ ) minus the chocolates given away ( $3x$ ) equals the chocolates left ( $2$ ). This can be written as $50 - 3x = 2$ .
Equation setup: We need to find an equation that matches the description. Let's rearrange the equation from the previous step to isolate the term with $x$ on one side. Adding $3x$ to both sides of the equation $50 - 3x = 2$ gives us $50 = 3x + 2$ . This matches one of the given choices.
Rearrange equation: Now, let's check the given choices to see which one matches our equation. The correct equation is $50 = 3x + 2$ , which is the same as $3x + 2 = 50$ when we switch the sides. This corresponds to choice (C).

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