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Stefan sells Jin a bicycle for ​$116 and a helmet for ​$16. The total cost for Jin is ​120% 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?

User Guenhter
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2 Answers

4 votes

Answer:

He made $12 by selling the bicycle helmet to Jin!

Explanation:

Let x be the original cost of the bicycle.

The cost of the helmet is $16, so the original cost of the bicycle and helmet is x + $16 algebraically.

Jin pays a total of $116 + $16 = $132 for the bicycle and helmet, which is 120% of what Stefan spent originally, so x + $16 = 1.2 * (x + $16)

Expanding the right-hand side gives x + $16 = 1.2x + 1.2 * $16.

Solving for x, we find that x = $104.

So, Stefan originally spent $104 for the bicycle and $16 for the helmet, for a total of $104 + $16 = $120.

Stefan sells the bicycle and helmet to Jin for $116 + $16 = $132, so he makes a profit of $132 - $120 = $12.

User Horatio Alderaan
by
7.6k points
3 votes

Answer:

see below

Explanation:

116+16=132 =120% * x

x=110

profit =132-110 =22

User PhirePhly
by
7.0k points