Question

Shopping  While shopping for​ clothes, Jaclyn spent ​$33 less than 2 times what Daniel spent. Jaclyn spent ​$17. Write and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.
Question content area bottom
Part 1
The equation that can be used to determine how much Daniel has spent is
2
xminus
33
equals
17
.
Part 2
Daniel spent ​$
  
enter your response here.

Answers

Answered by GPT-4o mini
To solve the problem, we need to start with the equation you provided:

1. Set up the equation based on the information given: Jaclyn spent $33 less than 2 times what Daniel spent. If \( x \) represents how much Daniel spent, then we can express Jaclyn's spending as:
\[
2x - 33 = 17
\]

2. Now, let's solve this equation step by step:
\[
2x - 33 = 17
\]

3. Add 33 to both sides of the equation:
\[
2x - 33 + 33 = 17 + 33
\]
\[
2x = 50
\]

4. Now, divide both sides by 2 to solve for \( x \):
\[
x = \frac{50}{2}
\]
\[
x = 25
\]

So, Daniel spent **$25**.

### Part 1
The equation is:
\[
2x - 33 = 17
\]

### Part 2
Daniel spent **$25**.

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