Math

QuestionA store buys 17 sweaters for \$204 and sells them for \$646. Find the profit per sweater.

Studdy Solution

STEP 1

Assumptions1. The store buys17 sweaters for 204.Thestoresellsthe17sweatersfor204. The store sells the17 sweaters for 6463. Profit is calculated as the selling price minus the buying price4. The profit per sweater is the total profit divided by the number of sweaters

STEP 2

First, we need to find the total profit made by the store. We can do this by subtracting the buying price from the selling price.
Profit=SellingpriceBuyingpriceProfit = Selling\, price - Buying\, price

STEP 3

Now, plug in the given values for the selling price and buying price to calculate the profit.
Profit=$646$204Profit = \$646 - \$204

STEP 4

Calculate the total profit made by the store.
Profit=$646$204=$442Profit = \$646 - \$204 = \$442

STEP 5

Now that we have the total profit, we can find the profit per sweater. This is done by dividing the total profit by the number of sweaters.
Profitpersweater=Totalprofit/NumberofsweatersProfit\, per\, sweater = Total\, profit / Number\, of\, sweaters

STEP 6

Plug in the values for the total profit and the number of sweaters to calculate the profit per sweater.
Profitpersweater=$442/17Profit\, per\, sweater = \$442 /17

STEP 7

Calculate the profit per sweater.
Profitpersweater=$442/17=$26Profit\, per\, sweater = \$442 /17 = \$26The store makes a profit of $26 per sweater.

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