Question

part 1 of 2 stefan sells jin a bicycle for $146 and a helmet for $19. the total cost for jin is 150% 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? stefan originally spent $\square$.

Explanation:

Step1: Calculate total selling price

Stefan sells the bicycle for $146 and the helmet for $19. So total selling price (which is Jin's cost) is $146 + $19 = $165.

Step2: Let Stefan's original cost be \( x \)

Jin's cost is 150% of Stefan's original cost. So \( 1.5x = 165 \) (since 150% = 1.5).

Step3: Solve for \( x \)

To find \( x \), divide both sides by 1.5: \( x=\frac{165}{1.5}=110 \).

Step4: Calculate profit

Profit = Selling price - Cost price. Selling price is $165, cost price is $110. So profit = $165 - $110 = $55.

Answer:

Stefan originally spent $110 and made a profit of $55.