Stefan sells Jin a bicycle for $114 a for $18. The total cost for Jin is 120% of what Stefan spent or to buy the bike and helmet. How much did Stefan spend originally to but a bike and helmet. How much money did he make by selling the bicycle and helmet to jin?

A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15,900).

B

How many helmets must the company make and sell to break even?

600

How much will it cost the company to make 600 helmets?

15,600

The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114

=> 1.20 * x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 * y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.