A food store makes a 11-pound mixture of peanuts almonds and raisins

Question

A food store makes a 11–pound mixture of peanuts, almonds, and raisins. The cost of peanuts is $1.50 per pound, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as many peanuts as almonds. The total cost of the mixture is $21.00. How much of each ingredient did the store use?

Hermina Ferry · Accepted Answer

single variable solution—————————-x lbs of almonds, so 2x lbs of peanuts & (11-3x) lbs of raisins 3x + 1.5*2x + 1.5(11-3x) = 211.5x = 21-1.5*11 = 4.5 , x = 3——————-almonds: 3 lbspeanuts: 6 lbs raisins: 2 lbs——————

Hermina Ferry · Answer

suppose the volume of peanuts:a of almonds:b of raisins:cyou will have systems of equations below:a+b+c=11;1.5a+3b+1.5c=21.00;a-2b=0solve those equations,we will have:a=6;b=3;c=2peanuts:6 poundalmonds:3 poundraisins:2 pounds

Hermina Ferry · Answer

Given: 11-pound mixture of peanuts, almonds, and raisinsCost:peanuts – 1.5 per poundalmonds – 3 per poundraisins – 1.5 per poundmixture:twice as many peanuts as almond; total cost of mixture is 21.a + p + r = 11 lbsa + 2a + r = 11 lbs3a + r = 11r = 11 – 3a1.5(2a) + 3a + 1.5r = 213a + 3a + 1.5r = 216a + 1.5r = 21 6a + 1.5(11-3a) = 216a + 16.5 – 4.5a = 216a – 4.5a = 21 – 16.51.5a = 4.51.5a/1.5 = 4.5/1.5a = 3almonds = 3 lbspeanuts = 2a = 2(3) = 6lbsraisins = 11 – 3a = 11 – 3(3) = 11 – 9 = 2 lbsMy answer is: C. 6 lbs peanuts, 3 lbs almonds, 2 lbs raisins

Hermina Ferry · Answer

6.5 pound of Peanuts => $ 9.753.25 pound of Almonds => $ 9.751 pound of Raisins => $ 1.50

Kelsie Sawayn

A food store makes a 11-pound mixture of peanuts almonds and raisins

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