SOLUTION: Solve each of the following problems. Be sure to show the equations used for the solution. Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and

Question 74730: Solve each of the following problems. Be sure to show the equations used for the solution.
Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of $9.00 beans
Then 100-x=amount of $12.00 beans
Now we know that the value of the $9.00 beans ($9.00)(x) plus the value of the $12.00 beans ($12.00)(100-x) must equal the value of the final mixture (100)($11.25). So our equation to solve is:
$9.00x+$12.00(100-x)=(100)($11.25) get rid of parens
$9.00x+$1200-$12.00x=$1125 subtract $1200 from both sides
$9.00x+$1200-$1200-$12.00x=$1125-$1200 collect like terms
-$3.00x=-$75 divide both sides by -$3.00

x=25 lb of $9.00 beans
100-x=100-25=75 lb of $12.00 beans
CK
25*$9.00+75*$12.00=100($11.25)
225+900=1125
1125=1125

Hope this helps----ptaylor

RELATED QUESTIONS
Solve each of the following systems by addition. If a unique solution does not exist,... (answered by stanbon)

Solve the following word problems. Be sure to label the unknowns and to show the... (answered by stanbon)

Solve each of the following problems. Be sure to show the equations used for the... (answered by ankor@dixie-net.com)

Solve the following word problems. Be sure to show the equation you use for the... (answered by ptaylor)

Solve the following word problems. Be sure to show the equation you use for the... (answered by tutorcecilia)

SOLVE AND SHOW THE EQUATIONS USED FOR THE SOLUTION A COFFEE MERCHANT HAS COFFEE BEANS... (answered by stanbon)

60. Business and finance. A coffee merchant has coffee beans that sell for $9 per pound... (answered by Paul)

Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and... (answered by fractalier)

Business and finance. A coffee merchant has coffee beans that sell for $9 per pound and... (answered by ankor@dixie-net.com)