Question

sara has two bags of nuts one with 60% peanuts and the other with 28% peanuts. to make a ten pound bag of 45% peanuts how much of each should sara use

Answer 1

SOLUTION - GIVEN = Sara has two bag with 60% & 28% peanut.

                    prove = How much the peanut is used to make 10 pound of 45%

                                 peanut.

TO PROOF -  Assume that

                    let  x be the  value of the peanut  used by sara  from the bag

                  60% peanut bag.

                  let ( 10 - x)  be the value of peanut used by sara from 28% peanut

                  bag.

                as given the bag become  of  the 10 pound which contain

                 45% of peanunt.

                  thus we have

               0.60x + 0.28 ( 10 - x ) = 0.45 (10)        

                0.60x + 0.28 ( 10 -x ) =   4.5

               0.60x  +   2.8 -  0.28 x = 4.5

              0.60x - 0.28x = 4.5 - 2.8

            0.32x  = 1.7

             x =  5.3125   peanut is taken from the 60% bag.

            & 4.6875 peanut from the 28% bag.