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.