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A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 4 pounds of trail mix, the total cost is $21 . For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $9 . Find the cost for each pound of jelly beans and each pound of trail mix.

Respuesta :

make this on form of a simultaneous equation:

assume jelly beans is J and trail mix is T

8J+4T=21
3J+2T=9
then solve

multiply the first equation by 3 and second equation by 8(SO THE J CAN DISAPPEAR[ELIMINATION METHOD])

24J+12T=63
24J+16T=72

Subtract

-4T=-9
T=0.44

then substitute the T to any one of the equation

3J+2(0.44)=9
3J+0.88=9
3J=8.12
J=2.71


therefore, jelly beans= $2.71 and trail mix=$0.44


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