document.write( "Question 1033350: A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $8.00 per pound with a Mexican Shade Grown coffee blend that normally sells for $10.40 per pound to create 20 pounds of a coffee that can sell for $8.12 per pound. How many pounds of each kind of coffee should they mix?
\n" ); document.write( "A) Write an equation using the information as it is given above that can be solved to answer the question. Use x as your variable to represent the quantity of Rift Valley coffee blend.
\n" ); document.write( "Equation:
\n" ); document.write( "They must mix 
\n" ); document.write( " pounds of the Rift Valley Blend 
\n" ); document.write( "pounds of the Mexican Shade Grown Blend. 
\n" ); document.write( "Round your answers to the nearest whole number of pounds.
\n" ); document.write( "

Algebra.Com's Answer #647938 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of Rift Valley coffee
\n" ); document.write( "blend needed
\n" ); document.write( "Let \"+b+\" = pounds of Mexican Shade Grown
\n" ); document.write( "coffee needed
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+20+\"
\n" ); document.write( "(2) \"+%28+8a+%2B+10.4b+%29+%2F+20+=+8.12+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+8a+%2B+10.4b+=+162.4+\"
\n" ); document.write( "(2) \"+80a+%2B+104b+=+1624+\"
\n" ); document.write( "(2) \"+10a+%2B+13b+=+203+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+10+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+10a+%2B+13b+=+203+\"
\n" ); document.write( "(1) \"+-10a+-+10b+=+-200+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+3b+=+3+\"
\n" ); document.write( "\"+b+=+1+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+1+=+20+\"
\n" ); document.write( "(1) \"+a+=+19+\"
\n" ); document.write( "-------------------
\n" ); document.write( "19 pounds of Rift Valley coffee
\n" ); document.write( "blend are needed
\n" ); document.write( "1 pound of Mexican Shade Grown
\n" ); document.write( "coffee is needed
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+8a+%2B+10.4b+%29+%2F+20+=+8.12+\"
\n" ); document.write( "(2) \"+%28+8%2A19+%2B+10.4%2A1+%29+%2F+20+=+8.12+\"
\n" ); document.write( "(2) \"+%28+152+%2B+10.4+%29+%2F+20+=+8.12+\"
\n" ); document.write( "(2) \"+162.4+=+20%2A8.12+\"
\n" ); document.write( "(2) \"+162.4+=+162.4+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );