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Question

Part 1
Stefan sells Jin a bicycle for ​$138 and a helmet for ​$16. The total cost for Jin is 140​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?
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Part 1
Stefan originally spent ​$
  
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Answer 1

Let's break down the problem step by step.

1. Total Cost for Jin: Jin buys a bicycle for $138 and a helmet for $16. \[ \text{Total Cost = Bicycle Cost + Helmet Cost} = 138 + 16 = 154 \]

2. Let X be the amount Stefan originally spent on the bicycle and helmet. The problem states that the total cost for Jin ($154) is 140% of what Stefan originally spent. \[ 154 = 1.40 \times X \]

3. To find X:

   • We can isolate X by dividing both sides of the equation by 1.40: \[ X = \frac{154}{1.40} \]
   • Calculating this gives: \[ X \approx 110 \]

4. Stefan's Original Spending: Thus, Stefan originally spent approximately $110.

5. Calculating Profit:

   • To find out how much money Stefan made from selling the bicycle and helmet, we subtract the amount he spent from the total amount Jin paid: \[ \text{Profit} = \text{Total Received from Jin} - \text{Original Spending} \] \[ \text{Profit} = 154 - 110 = 44 \]

6. Final Answers:

   • Stefan originally spent $110.
   • He made a profit of $44 by selling the bicycle and helmet to Jin.

So, the answer where you need to enter Stefan's original spending is $110.