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A candle manufacturer produces candles at a cost of 40 dollars per candle. If the manufacturer produces 160 candles and sells \frac{3}{8} of them at 65 dollars per candle and the rest at 90 dollars per candle, what is the manufacturer's gross profit?

Explanation	Calculations	Help
$We call the total number of candles produced R .$	$R = 160$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate " \frac{3}{8} of them at 65 dollars per candle" to find how many are sold at 65 dollars each.$	$N_{65} = \frac{3}{8} \times R = \frac{3}{8} \times 160 = 60$	Theory & Tactics Method Card TRANS2-B Click to view full details
$We translate "the rest at 90 dollars per candle" into a subtraction to find how many are sold at 90 dollars each.$	$N_{90} = R - N_{65} = 160 - 60 = 100$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We express total revenue as the sum of revenue from each price.$	$Revenue = 65 \times N_{65} + 90 \times N_{90} = 65 \times 60 + 90 \times 100 = 3900 + 9000 = 12900$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "produces candles at a cost of 40 dollars per candle" into a cost expression.$	$Cost = 40 \times R = 40 \times 160 = 6400$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate gross profit by applying the profit formula.$	$Profit = Revenue - Cost = 12900 - 6400 = 6500$	Theory & Tactics Method Card TRANS3-A Click to view full details

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A

A candle manufacturer produces candles at a cost of 40 dollars per candle. If the manufacturer produces 160 candles and sells \frac{3}{8} of them at 65 dollars per candle and the rest at 90 dollars per candle, what is the manufacturer's gross profit?

Explanation	Calculations	Help
$We call the total number of candles produced R .$	$R = 160$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate " \frac{3}{8} of them at 65 dollars per candle" to find how many are sold at 65 dollars each.$	$N_{65} = \frac{3}{8} \times R = \frac{3}{8} \times 160 = 60$	Theory & Tactics Method Card TRANS2-B Click to view full details
$We translate "the rest at 90 dollars per candle" into a subtraction to find how many are sold at 90 dollars each.$	$N_{90} = R - N_{65} = 160 - 60 = 100$	Theory & Tactics Method Card TRANS1-D Click to view full details
$We express total revenue as the sum of revenue from each price.$	$Revenue = 65 \times N_{65} + 90 \times N_{90} = 65 \times 60 + 90 \times 100 = 3900 + 9000 = 12900$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We translate "produces candles at a cost of 40 dollars per candle" into a cost expression.$	$Cost = 40 \times R = 40 \times 160 = 6400$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We calculate gross profit by applying the profit formula.$	$Profit = Revenue - Cost = 12900 - 6400 = 6500$	Theory & Tactics Method Card TRANS3-A Click to view full details

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A