Question

Stefan sells Jim a bicycle for $175 and a helmet for $17. The total cost for Jim is 160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by spelling the bicycle and helmet to Jim?

Answer 1

Stefan spend $120 originally.

Stefan made $72 by selling bicycle and helmet to Jim.

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`

Now we know that;

Total Cost of Jim is equal to 160% of Amount Stefan spend originally.

framing in equation form we get;

`192 = (160)/(100)* x\\\\192 =1.6x`

Dividing both side by 1.6 we get;

`(192)/(1.6)=(1.6x)/(1.6)\\\\x= \$120`

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`

Hence Stefan made $72 by selling bicycle and helmet to Jim.