Stefan sells Jin a bicycle for $161 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?

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absor201 absor201 · Answer 1 · 2019-12-21T10:24:34+01:00

Stefan made $60 by selling bicycle and helmet to Jin.

Step-by-step explanation:

Selling price of bicycle = $161

Selling price of helmet = $19

Total = 161+19= $180

Let,

x represents the original cost Stefan to buy the bike and helmet.

150% of x = $180

[tex]\frac{150}{100}*x=180\\1.5x=180[/tex]

Dividing both sides by 1.5

[tex]\frac{1.5x}{1.5}=\frac{180}{1.5}\\x=120[/tex]

Stefan bought bicycle and helmet for $120.

Profit made by Stefan = Selling price - buying price

Profit made by Stefan = 180-120 = $60

Stefan made $60 by selling bicycle and helmet to Jin.

Keywords: profit, percentage

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