how do i do this:
A grocery sells peanuts for $3.20 per pound and cashews for $8 per pound. The grocer wants to make 100 pounds of mixture of peanuts and cashews that can be sold for $4.40 per pound. How many pounds of each type of nut should the grocer use?
** i got this wrong on a test, and my teacher said i could correct it for 1/2 credit but i have no idea what to do!
A grocery sells peanuts for $3.20 per pound and cashews for $8 per pound. The grocer wants to make 100 pounds of mixture of peanuts and cashews that can be sold for $4.40 per pound. How many pounds of each type of nut should the grocer use?
** i got this wrong on a test, and my teacher said i could correct it for 1/2 credit but i have no idea what to do!
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Lbs. of peanuts = p
Lbs. of cashews = c
p + c = 100
3.20p + 8.00c = 4.40(100)
p + c = 100
3.20p + 8.00c = 440
-8(p + c = 100)
3.20p + 8.00c = 440
-8.00p - 8.00c = -800
3.20p + 8.00c = 440
-4.80p = -360
p = 75
If p = 75...and p + c = 100...then c = 25.
Lbs. of peanuts = p = 75
Lbs. of cashews = c = 25
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Lbs. of cashews = c
p + c = 100
3.20p + 8.00c = 4.40(100)
p + c = 100
3.20p + 8.00c = 440
-8(p + c = 100)
3.20p + 8.00c = 440
-8.00p - 8.00c = -800
3.20p + 8.00c = 440
-4.80p = -360
p = 75
If p = 75...and p + c = 100...then c = 25.
Lbs. of peanuts = p = 75
Lbs. of cashews = c = 25
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x - pounds of peanuts
x * 3.20 + (100-x) * 8 = 100 * 4.40
x * 3.20 + 800 - 8x = 440
-4.80x = -360
x = 75
hence,
75 pounds of peanuts and 25 pounds of cashew.
x * 3.20 + (100-x) * 8 = 100 * 4.40
x * 3.20 + 800 - 8x = 440
-4.80x = -360
x = 75
hence,
75 pounds of peanuts and 25 pounds of cashew.