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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.

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AzaanAqeel123
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
abidemiokin

The cost for each pound of jelly beans and each pound of trail mix are $2.75 and $3,75 respectively

System of equations

The system of equation is made of known and unknown variables.

Let the cost of each pound of jelly be x

Let the cost of each trail mix be y

Such that;

9x+7y=53  * 1

3x+5y=25 * 3

________________

9x+7y=53

9x+15y= 75

Subtract

-8y = - 22

y = 22/8
y = $2.75

Determine the value of x

3x + 5y = 25
3x + 5(2.75) = 25
3x = 25 - 13.75
3x = 11.25
x = $3.75

Hence the cost for each pound of jelly beans and each pound of trail mix are $2.75 and $3,75 respectively

Learn more on simultaneous equation here: https://brainly.com/question/16863577

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