Answer:
Stefan spend $120 originally.
Stefan made $72 by selling bicycle and helmet to Jim.
Step-by-step explanation:
Given:
Cost of bicycle = $175
Cost of Helmet = $17
Percent of total cost of Jim = 160% of original cost of Stefan
We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.
Solution:
Let the Amount Stefan spend originally be 'x'.
Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.
framing in equation form we get;
Total Cost of Jim = ![175+17 =\$192](https://tex.z-dn.net/?f=175%2B17%20%3D%5C%24192)
Now we know that;
Total Cost of Jim is equal to 160% of Amount Stefan spend originally.
framing in equation form we get;
![192 = \frac{160}{100}\times x\\\\192 =1.6x](https://tex.z-dn.net/?f=192%20%3D%20%5Cfrac%7B160%7D%7B100%7D%5Ctimes%20x%5C%5C%5C%5C192%20%3D1.6x)
Dividing both side by 1.6 we get;
![\frac{192}{1.6}=\frac{1.6x}{1.6}\\\\x= \$120](https://tex.z-dn.net/?f=%5Cfrac%7B192%7D%7B1.6%7D%3D%5Cfrac%7B1.6x%7D%7B1.6%7D%5C%5C%5C%5Cx%3D%20%5C%24120)
Hence Stefan spend $120 originally.
Now we can say that;
Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.
framing in equation form we get;
Money Stefan made = ![192-120 =\$72](https://tex.z-dn.net/?f=192-120%20%3D%5C%2472)
Hence Stefan made $72 by selling bicycle and helmet to Jim.