document.write( "Question 909681: Nicole's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Nicole $5.75 per pound, and type B coffee costs $4.20 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $367.90. How many pounds of type A coffee were used? \n" ); document.write( "
Algebra.Com's Answer #551978 by richwmiller(17219)\"\" \"About 
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We know that the total cost for the two mixes is $367.9
\n" ); document.write( "4.2*x+5.75*y=367.9
\n" ); document.write( "We know that the mix at $4.2 has 2 times the amount at $5.75
\n" ); document.write( "We substitute for x
\n" ); document.write( "4.2*(2*y)+5.75*y=367.9
\n" ); document.write( "We multiply out
\n" ); document.write( "(8.4+5.75)*y=367.9
\n" ); document.write( "We combine like terms.
\n" ); document.write( "14.15*y=367.9
\n" ); document.write( "Isolate y
\n" ); document.write( "y= 26.00
\n" ); document.write( "y= 26.00 at $5.75
\n" ); document.write( "Calculate x
\n" ); document.write( "x=2*y
\n" ); document.write( "x= 52.00 at $4.2
\n" ); document.write( "Your total for x is 52.00
\n" ); document.write( "Your total for y is 26.00
\n" ); document.write( "Your total for x and y is 78.00
\n" ); document.write( "Total invested 52.00 + 26.00= 78.00
\n" ); document.write( "We check
\n" ); document.write( "4.2* 52.00+5.75* 26.00=367.9
\n" ); document.write( " 218.40+ 149.50=367.9
\n" ); document.write( "367.9=367.9
\n" ); document.write( "Since this statement is TRUE and neither x nor y is negative then all is well.\r
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