Question

Stefan sells Jin a bicycle for $X and a helmet for $Y. The total cost for Jin is Z% 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?

A. X + Y
B. (X + Y) / (Z/100)
C. X - Y
D. (Z/100) * (X + Y)

Answer 1

To find the original amount Stefan spent and how much money he made, use the formula (X + Y) / (Z/100).

Step-by-step explanation:

To find the original amount Stefan spent, we need to determine what Z% of that amount is equal to Z% of X + Y. Using algebra, we can set up the equation:

(Z/100)(X + Y) = Z% of original amount

To solve for the original amount, we can divide both sides of the equation by (Z/100):

Original amount = (X + Y)/(Z/100).

To calculate how much money Stefan made by selling the bicycle and helmet to Jin, we can subtract the original amount from the total cost for Jin:

Money made = Total cost for Jin - Original amount = Z% of X + Y - ((X + Y)/(Z/100)).

Therefore, the answer is option B: (X + Y) / (Z/100).