9. A bike shop sells you a bicycle for $63 and a helmet for $21. the total cost is 150â„… 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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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 originallya how much did the shop spend originallyb ho class=

Respuesta :

Answer:

The shop originally spent $56

Step-by-step 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: Initial cost = $56

Profit = $28

Step-by-step 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