9. a bike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150% of what the shop…

9. a bike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150% of what the shop spent originally.\na. how much did the shop spend originally?\nb. how much profit did the bike shop earn by selling the bicycle and helmet to you?

9. a bike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150% of what the shop spent originally.\na. how much did the shop spend originally?\nb. how much profit did the bike shop earn by selling the bicycle and helmet to you?

Answer

Explanation:

Step1: Calculate the total selling price

The total selling price of the bicycle and helmet is (63 + 21=$84).

Step2: Find the original cost (for part a)

Let the original cost be (x). We know that (84 = 1.5x) (since (150%=1.5)). Solving for (x), we get (x=\frac{84}{1.5}=56).

Step3: Calculate the profit (for part b)

Profit = Total selling price - Original cost. So, profit (=84 - 56=$28).

Answer:

a. The shop spent originally ($56). b. The bike - shop earned a profit of ($28).