document.write( "Question 789711: Can someone help me solve this?
\n" ); document.write( "Ben wants to blend gummy worms welling for $1.60 a pound with Hot Tamales selling for $2.50 a pound to get a mixture that will be sold for $1.90 a pound. How many pounds of each candy should be used to get 30 pounds of the mixture? \n" ); document.write( "

Algebra.Com's Answer #478922 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x\"$ = amount of gummy worms to use in the mix, in pounds
\n" ); document.write( " $\"y%29%29%29=+amount+of+Hot+Tamales+to+be+used+in+the+mix%2C+in+pounds%0D%0A%7B%7B%7B1.60x\"$ = price of x pounds of gummy worms, in $
\n" ); document.write( " $\"2.50y\"$ = price of y pounds of Hot Tamales, in $
\n" ); document.write( " $\"1.90%2A30\"$ = price of 30 pounds of $1.90 a pound candy mix
\n" ); document.write( "
\n" ); document.write( "Total amount balance equation:
\n" ); document.write( " $\"x%2By=30\"$
\n" ); document.write( "Total price equation:
\n" ); document.write( " $\"1.60x%2B2.50y=1.90%2A30\"$
\n" ); document.write( "
\n" ); document.write( "Simplifying:
\n" ); document.write( " $\"1.60x%2B2.50y=1.90%2A30\"$
\n" ); document.write( " $\"1.60x%2B2.50y=57\"$
\n" ); document.write( " $\"16x%2B25y=570\"$
\n" ); document.write( "
\n" ); document.write( "Solving:
\n" ); document.write( " $\"system%28x%2By=30%2C16x%2B25y=570%29\"$ --> $\"system%28x=30-y%2C16x%2B25y=570%29\"$ --> $\"system%28x=30-y%2C16%2830-y%29%2B25y=570%29\"$ --> $\"system%28x=30-y%2C16%2A30-16y%2B25y=570%29\"$ --> $\"system%28x=30-y%2C480%2B9y=570%29\"$ --> $\"system%28x=30-y%2C9y=570-480%29\"$ --> $\"system%28x=30-y%2C9y=90%29\"$ --> $\"system%28x=30-y%2Cy=10%29\"$ --> $\"highlight%28system%28x=20%2Cy=10%29%29\"$
\n" ); document.write( "
\n" ); document.write( "NOTE:
\n" ); document.write( "Your teacher may like to see a different format, and I may have showed too many steps, but if you understand how to reach the solution, you can adjust to the expected format. \n" ); document.write( "

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