SOLUTION: a store is having a sale on jelly beans and trail mix for 5 pounds of jelly beans and 3 pounds of trail mix the total cost is 23$ for 2 pounds of jelly beans and 12 pounds of trail

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a store is having a sale on jelly beans and trail mix for 5 pounds of jelly beans and 3 pounds of trail mix the total cost is 23$ for 2 pounds of jelly beans and 12 pounds of trail      Log On


   

Question 1063325: a store is having a sale on jelly beans and trail mix for 5 pounds of jelly beans and 3 pounds of trail mix the total cost is 23$ for 2 pounds of jelly beans and 12 pounds of trail mix the total cost is $47 dollars find the cost of each pound of jelly beans and each pound of trail mix
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
j, price for Jelly Beans
m, price for Trail MIX

The description gives this system of equations.
system%285j%2B3m=23%2C2j%2B12m=47%29

You can begin with Elimination Method. Multiply the first equation by 4.

system%2820j%2B12m=92%2C2j%2B12m=47%29

%2820j%2B12m%29-%282j%2B12m%29=92-47
18j=45
j=45%2F18=15%2F6=5%2F2=2.50----------Jelly beans, $2.50 per pound.

You can find price per pound for the trail mix.