Question 1196789
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The first batch cost him 96/8 = 12 cents each; the second batch cost him 102/6 = 17 cents each.<br>
Using the fact that the number in the second batch was 2/3 the number in the first...
let 3x = # in first batch
then 2x = # in second batch<br>
The total cost to him in cents was<br>
{{{3x(12)+2x(17)=36x+34x=70x}}}<br>
The average cost to him for each orange was then that total cost, divided by the total number of oranges:<br>
{{{(70x)/(5x)=14}}}<br>
The oranges cost him, on average 14 cents each; to make a profit of 50%, he needs to sell them at 21 cents each, which means 12(21) = 252 cents or $2.52 per dozen.<br>
ANSWER (price per dozen in dollars): 2.52<br>