document.write( "Question 182236: Shelby has two types of iodine in her lab. She has brand 238 iodine, which costs 53 cents per ounce. She also has brand 691 iodine which costs $2.35 an ounce. How many ounces of brand 238 should she use if she has 55 ounces of brand 691 and wants to make a mixture that costs approximately $0.77 per ounce. \n" ); document.write( "

Algebra.Com's Answer #136766 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = amount of 238 iodine needed
\n" ); document.write( "Let $\"b\"$ = amount of 691 iodine needed
\n" ); document.write( "given:
\n" ); document.write( " $\"b+=+55\"$ oz
\n" ); document.write( " $\".53a+%2B+2.35b+=+.77%2A%28a+%2B+b%29\"$
\n" ); document.write( " $\".53a+%2B+2.35%2A55+=+.77%2A%28a+%2B+55%29\"$
\n" ); document.write( " $\".53a+%2B+129.25+=+.77a+%2B+42.35%29\"$
\n" ); document.write( " $\".53a+%2B+129.25+=+.77a+%2B+42.35%29\"$
\n" ); document.write( " $\".24a+=+86.9\"$
\n" ); document.write( " $\"a+=+362.1\"$ oz
\n" ); document.write( "She needs 362.1 oz of the 238 iodine
\n" ); document.write( "check:
\n" ); document.write( " $\".53a+%2B+2.35b+=+.77%2A%28a+%2B+b%29\"$
\n" ); document.write( " $\".53%2A362.1+%2B+2.35%2A55+=+.77%2A%28362.1+%2B+55%29\"$
\n" ); document.write( " $\"191.9+%2B+129.25+=+321.2\"$
\n" ); document.write( " $\"321.2+=+321.2\"$
\n" ); document.write( "OK \n" ); document.write( "

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