Question 1184588
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Informally, using logical reasoning....<br>
(1) Double the second purchase to 6 pounds of jelly beans and 4 pounds of almonds for $28.
(2) Compare that to the first purchase of 8 pounds of jelly beans and 4 pounds of almonds for $33.
(3) The difference is 2 more pounds of jelly beans for $5 more, so the cost of each pound of jelly beans is $2.50.
(4) Plug that into either original purchase to find the cost of each pound of almonds is $3.25.<br>
The exact same calculations, using formal algebra....<br>
8j+4a=33 [1]
3j+2a=14 [2]<br>
Double the second equation<br>
6j+4a=28 [3]<br>
Subtract [3] from [1]<br>
2j=5 [4]
j=2.5<br>
Substitute j-2.5 in [1]<br>
8(2.5)+4a=33
20+4a=33
4a=13
a=13/4=3.25<br>