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cricket20 [7]
3 years ago
12

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.
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0
Set up your two equations: 
<span>9x+7y=53 </span>
<span>3x+5y=25 </span>
<span>X=cost per pound of jelly bean </span>
<span>Y=cost per pound of trail mix </span>
<span>Multiply the second equation by (-3): </span>
<span>-9x-15y=-75 </span>
<span>+ 9x+7y=53 <---- copy first equation and add them </span>
<span>—————— </span>
<span>0x-8y=-22 </span>
<span>Then solve for y: </span>
<span>Y=2.76 this is your cost per pound of trail mix. </span>
<span>Then plug y back in to one of the original equations and solve for x: </span>
<span>3x+7(2.75)=25 </span>
<span>X=3.75 this is you cost per pound of jelly beans</span>
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