A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.20 per pound, almonds for $2.20 per pound, and cashews for $3.20 per pound, Suppose a specialty shop wants a mixture of 280 poundsthat will cost 52.59 per pound. Find the number of pounds of each type of nut if the sum of the number ofpounds of almonds and cashews is three times the number of pounds of peanuts, Round your answers to thenesrest pound.

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Jocelyn Harwood · Accepted Answer

Step 1 Letx= Ibs of almondsy= Ibs of casheuesz= Ibs of peanutsStep 2According to question2⋅20x+3⋅20y+1⋅20z=2⋅59(280)⇒2⋅20x+3⋅20y+1⋅20z=725⋅2→(1)and x+y+z=280→(2)3a=x+y→(3)z=x+y3→(4)Step 3Aubotitute value of z from 4 to 1 and 2,2⋅20x+3⋅20y+1⋅203(x+y)=725⋅22⋅20x+3⋅20y+0⋅4x+0⋅4y=725⋅22⋅6x+3⋅6y=725⋅2→(5)x+y+x+y3=28043x+43y=280⇒4x+4y=840→(6)Step 4Solving 5 and 6 we getx=30⋅8,y=179⋅2⇒z=30⋅8+179⋅23=70⇒z=70⇒ 31 pounds of almond179 pounds of casheues70 pounds of peanuts

marinacabellok6k · Accepted Answer

Step 1x= pounds of peanuts, y=pounds of cashewsRevenue1 (sold separately) =1.2x+2,2Revenue 2(mix)=3,2(x+y)Revenue1 = Revenue21.2x+2,2y=3,2x+yGiven x=52,59, we insert this into (*)1.2(52.59)+2,2y=3,2(52,59+y)x=30⋅8,y=179⋅2⇒z=30⋅8+179⋅23=70⇒z=70⇒ 31 pounds of almond179 pounds of casheues70 pounds of peanuts

A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.20 per pound, almo

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