danbautista505 danbautista505

14-04-2024
Mathematics

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Peanuts cost $2 per pound and cashews cost 4 per pound. A 50-pound mixture costs $164. How many pounds of each kind of nut are in the mixture?

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regalmocha17 regalmocha17

14-04-2024

Answer:

18 pounds of peanuts

32 pounds of cashews

Step-by-step explanation:

peanuts = 2$ per pound

cashews = 4$ per pound

50 pound mix = $164

so we can represent it as

2p + 4c = 164

p + c = 50

solve:

p = 50 -c

2(50 - c) + 4c = 164

100 - 2c + 4c = 164

2c = 64

c = 32

p = 50 - 32

p = 18

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