document.write( "Question 45317This question is from textbook Intermediate Algebra
\n" ); document.write( ": How many pounds of candy worth $0.50 per pound and how many pounds of peanuts worth $0.90 per pound must be mixed to get a mixture of 64 pounds worth $0.60 per pound? I need to write the equation and solve it.\r
\n" ); document.write( "\n" ); document.write( "Gracias.\r
\n" ); document.write( "\n" ); document.write( "Lydia Alejandro. \n" ); document.write( "
Algebra.Com's Answer #30059 by tutmath(14)\"\" \"About 
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Let the pounds of candy to be mixed be x pounds and the pounds of peanut to be mixed be y pounds.\r
\n" ); document.write( "\n" ); document.write( "Now the total pounds of the mixture is 64 as stated in the problem.\r
\n" ); document.write( "\n" ); document.write( "Hence the first equation we have is x + y = 64,
\n" ); document.write( "can also be written as x = 64 - y\r
\n" ); document.write( "\n" ); document.write( "Now candy is worth $0.50 / pound, if there are x pounds of candy then they will be worth 0.50 times x = 0.5x dollars\r
\n" ); document.write( "\n" ); document.write( "Similarly, peanut is worth $0.90 / pound, hence y pounds of peanut will be worth 0.9y dollars.\r
\n" ); document.write( "\n" ); document.write( "The problem states the total mixture is worth $0.6 / pound and weighs 64 lbs.
\n" ); document.write( "Hence the total mixture amounts to 0.6 * 64 = $38.4\r
\n" ); document.write( "\n" ); document.write( "Since the mixture is x pounds of candy and y pounds of peanut, we can equate the total dollar values as:\r
\n" ); document.write( "\n" ); document.write( "0.5x + 0.9y = 0.6 (64) = 38.4 (this is the second equation)
\n" ); document.write( "But we know x = 64 - y (from the first equation)
\n" ); document.write( "Therefore substituting this value of x in the second equation,
\n" ); document.write( "0.5(64 - y) + 0.9y = 38.4
\n" ); document.write( "32 - 0.5y + 0.9y = 38.4
\n" ); document.write( "0.4y = 6.4
\n" ); document.write( "y = 16\r
\n" ); document.write( "\n" ); document.write( "x = 64 - y = 64 - 16 = 48\r
\n" ); document.write( "\n" ); document.write( "(If you have any questions on the solution you can send me your queries at tutmath@gmail.com) \n" ); document.write( "
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