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Answered

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Adioabiolaidn

Answer:

x = cost per pound of almond = $10.2

y = cost per pound of cashew = $12.4

Step-by-step explanation:

Let

x = cost per pound of almond

y = cost per pound of cashew

Magda:

6x + y = 73.60

Nicholas:

4x + 3y = 78.00

6x + y = 73.60 (1)

4x + 3y = 78.00 (2)

Multiply (1) by 3

18x + 3y = 220.8 (3)

4x + 3y = 78.00 (2)

Subtract (2) from (3) to eliminate y

18x - 4x = 220.8 - 78.00

14x = 142.8

x = 142.8 / 14

x = 10.2

Substitute x = 10.2 into (1)

6x + y = 73.60 (1)

6(10.2) + y = 73.60

61.2 + y = 73.60

y = 73.60 - 61.2

y = 12.4

x = cost per pound of almond = $10.2

y = cost per pound of cashew = $12.4

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