Question 382209
OK
Let x=amount of rum needed
Then 145-x=amount of fruit juice needed

Now we know that the total value of the rum and fruit juice before they are mixed together is equal to the total value of the final mixture.

So: ($ understood)
8x+3(145-x)=5*145
8x+435-3x=725 subtract 435 from each side and collect like terms
5x=290
x=58 gal-----------------------amount of rum needed
145-58=87 gal----amount of fruit juice needed
CK
8*58+3*87=5*145
464+261=725
725=725

Hope this helps--ptaylor