Stefan sells jin a bicycle for $114 and a helmet for $18. The toltal 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?

Respuesta :

Answer:

Stefan spend originally $110 and the money stefan make by selling the bicycle and helmet to jin is $22 .

Step-by-step explanation:

As given

Stefan sells jin a bicycle for $114 and a helmet for $18.

Total cost of the bicycle and helmet = $114 + $18

                                                            = $132

The total cost for jin is 120% of what stefan spent originally to buy the bike and helmet.

120% is written in the decimal form.

[tex]= \frac{120}{100}[/tex]

= 1.20

Let us assume that the Stefan spend originally for bike and helmets be x.

Than the equation becomes

1.20 × x = 132

1.20x = 132

[tex]x = \frac{132}{1.20}[/tex]

x = $110

Therefore stefan spend originally be  $110 .

Now find out how much money did he make by selling the bicycle and helmet to jin .

Money make by Stefan = Total selling cost of helmet and bicycle  - Total amount of  stefan spends for purchasing.

Money make by Stefan = 132  - 110

Money make by Stefan = $22

Therefore the money stefan make by selling the bicycle and helmet to jin is $22 .