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2 Ms. stewar bought a used vehte that was in discepair, athe repaintes vehicle, replaced ifs minsing parto, repaired is broken parts, The list br shows what Ms. stewart pafd for the vehicte's restoration. - Price paid for used vehicle: 32,20 r - Cost to repaine: \( \$ 454 \) - Cost to replace parto: \( \$ 279 \) - Cost to repair broken parto: \( \$ 85 \) Ms. Stewart sold the restored vehick \( \$ 4,500 \). How much profit did she earr A \( \$ 1,482 \) B \( \$ 3,018 \) C \( \$ 1,268 \) D \( \$ 7,518 \)

Ask by Hart Clark. in the United States
Mar 13,2025

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Tutor-Verified Answer

Answer

Ms. Stewart earned a profit of \$1,482.

Solution

Let the cost Ms. Stewart paid for the used vehicle be denoted by \(P\). The list of costs is: - Used vehicle: \(P\) - Repainting: \(\$454\) - Replacing parts: \(\$279\) - Repairing broken parts: \(\$85\) The total restoration cost is therefore: \[ P + 454 + 279 + 85 \] First, add the repair costs: \[ 454 + 279 = 733 \] \[ 733 + 85 = 818 \] So, the total cost is: \[ P + 818 \] We are told that Ms. Stewart sold the vehicle for \(\$4500\) and earned a profit. Profit is computed as: \[ \text{Profit} = \text{Selling Price} - (\text{Purchase Cost + Restoration Costs}) \] Thus, \[ \text{Profit} = 4500 - (P + 818) \] The information given in the problem implies that the used vehicle was purchased for a price written as “32,20 r.” Interpreting this figure as \(\$2200\) (a common price for a used vehicle in a restoration problem) we have \(P=2200\). Now substitute into the total cost: \[ \text{Total Cost} = 2200 + 818 = 3018 \] Then the profit is: \[ \text{Profit} = 4500 - 3018 = 1482 \] Thus, the profit Ms. Stewart earned is \(\$1482\), which corresponds to option A.

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To find the profit Ms. Stewart earned from selling the restored vehicle, we first need to calculate her total investment in the vehicle. Total Cost = Price paid for the used vehicle + Cost to repaint + Cost to replace parts + Cost to repair broken parts Total Cost = \( 32,200 + 454 + 279 + 85 = 32,200 + 818 = 33,018 \) Now, we subtract the total investment from the sale price to find the profit: Profit = Sale Price - Total Cost Profit = \( 4,500 - 33,018 = -28,518 \) Oops! Seems Ms. Stewart didn’t earn a profit but a loss of \( 28,518 \). So, none of the options A, B, C, or D represent her financial outcome correctly. Time to rethink those restoration costs! For your options to be correct, it seems like a large oversight in proper calculations or assumptions regarding the amounts involved—no profits here, just a lesson in financial responsibility!

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