document.write( "Question 567597: 1.A candy manufacturer has two grades of candy, selling at 75 cents and 90 cents a pound respectively. How many pounds of each must he use to make mixture of 150 pounds, to sell at 75 cents a pound? please, show your step by step solution..
\n" ); document.write( "2. A tobacconist wishes to blend two grades of tobacco, costing 8 cents an ounce and 10 cents an ounce respectively, and to sell the mixture at 12 cents an ounce with a profit of 25 per cent of the cost.How many ounces of each kind must he used to the pound ? ( 1 lb. = 16 oz.)
\n" ); document.write( "3. A fruit dealer sold 9 dozen lemons and 16 dozen oranges for $17.40.The following day he sold, at the same prices, 11 dozens lemons and 20 dozens oranges for $21.60. Find the prices of his lemons and oranges.\r
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Algebra.Com's Answer #366698 by mananth(16946)\"\" \"About 
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----------------- price cents ----------------quantity
\n" ); document.write( "Candy type I 75 ----------------x pounds
\n" ); document.write( "Candy type II 90 ----------------600-x pounds
\n" ); document.write( "Mixture 75.00 ----------------600
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\n" ); document.write( "75x+90(600-x)=75*600
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\n" ); document.write( "75x+54000-90x=45000
\n" ); document.write( "75x-90x=45000-54000
\n" ); document.write( "-15x=-9000
\n" ); document.write( "/-15
\n" ); document.write( "x=600 pounds 75.00 cents Candy type I
\n" ); document.write( "0 pounds 90.00 cents Candy type II
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\n" ); document.write( "\n" ); document.write( "tobacco type I - 8 cents/ounce x ounces
\n" ); document.write( "tobacco type II- 10 cents/ounce y ounces
\n" ); document.write( "he sells at 12 cents/pound
\n" ); document.write( "profit = 25%
\n" ); document.write( "so cost = (100/125)*12=9.60 cents\r
\n" ); document.write( "\n" ); document.write( "sum of individual costs = costof mixture\r
\n" ); document.write( "\n" ); document.write( "8x+10y= 9.6(x+y)\r
\n" ); document.write( "\n" ); document.write( "8x+10y=9.6x+9.6y
\n" ); document.write( "0.4y=1.6x\r
\n" ); document.write( "\n" ); document.write( "x/y = 0.4/1.6 \r
\n" ); document.write( "\n" ); document.write( "x/y = 1/4\r
\n" ); document.write( "\n" ); document.write( "he has to mix 3.2 ounces of 8 cents cent tobacco with 12.8 ounce of 10 cent tobacco to make 1 pound of mixed coffee\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca\r
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