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.

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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.

1 answer

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.