A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $17 . For 9 pounds of jelly beans and 7 pounds of trail mix, the total cost is $37 . Find the cost for each pound of jelly beans and each pound of trail mix.
Accepted Solution
A:
Set up your two equations: 9x+7y=53 3x+5y=25 X=cost per pound of jelly bean Y=cost per pound of trail mix Multiply the second equation by (-3): -9x-15y=-75 + 9x+7y=53 <---- copy first equation and add them —————— 0x-8y=-22 Then solve for y: Y=2.76 this is your cost per pound of trail mix. Then plug y back in to one of the original equations and solve for x: 3x+7(2.75)=25 X=3.75 this is you cost per pound of jelly beans