Question

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.

a. how much did the shop spend originally?

b. how much profit did the bike shop earn by selling the bicycle and helmet to you?
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Answer 1

The shop originally spent $56

Explanation:

Suppose, the shop spent dollars originally.

Given that, the total cost is 150% of what the shop spent originally. So, the total cost will be: dollars.

The shop sells you a bicycle for $63 and a helmet for $21. So, the total cost

Thus, the equation will be.........

So, the shop spent $56 originally.

Answer 2

Answer: Initial cost = $56

Profit = $28

Explanation:

A bicycle costs $63

A helmet cost $21

The total cost is 150% of what the sho spent originally for these tiems:

The total cost is C = $63 + $21 = $84

and we know that this cost is the 150% of the initial cost, K:

C = (150%/100%)*K = 1.5*K

So the initial cost is:

K = C/1.5 = $84/1.5 = $56

The profit will be the difference between the two costs:

P = C - K = $84 - $56 = $28

So the shop earns $28 by selling the bicycle and helmet