SOLUTION: Can someone help me solve this? 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

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Can someone help me solve this? 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       Log On


   

Question 789711: Can someone help me solve this?
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?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= amount of gummy worms to use in the mix, in pounds
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 $
2.50y= price of y pounds of Hot Tamales, in $
1.90%2A30= price of 30 pounds of $1.90 a pound candy mix

Total amount balance equation:
x%2By=30
Total price equation:
1.60x%2B2.50y=1.90%2A30

Simplifying:
1.60x%2B2.50y=1.90%2A30
1.60x%2B2.50y=57
16x%2B25y=570

Solving:
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

NOTE:
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.