Question

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?

Answer 1

Stefan originally spent $110 on the bicycle and helmet. He sold them to Jin for $154, thus making a profit of $44. The calculations involve using percentages and basic algebra.

Step-by-step explanation:

The subject of this question is Mathematics, and it is at a high school level. Jin paid 140% of the original price that Stefan spent for a bicycle and a helmet. Therefore, the total cost for Jin ($154) is equal to 140% of Stefan’s original cost (which we’ll call x). The equation that represents this scenario is:

1. Calculate the original cost

140% of x = 154

1.40x = 154

x = 154 / 1.40

x = $110

2. Calculate Stefan’s profit

Profit = Selling Price - Original Cost

Profit = (138 + 16) - 110

Profit = 154 - 110

Profit = $44

Stefan originally spent $110 to buy the bike and helmet. By selling them for $154, Stefan made a profit of $44.