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Cody’s favorite snacks are pecans and almonds. At the Nut Haus, pecans sell for $2.00 a pound and almonds sell for $4.50 a pound. Cody wants to buy a mixture of nuts that weighs 6 pounds. He has $15.25 to spend on pecans and almonds.


Part A

Identify the two variables in the problem situation.


Part B

Write a system of two linear equations in two variables that could be used to determine the number of pounds of pecans and almonds Cody could purchase at the Nut Haus.

Respuesta :

evanpost2007

Answer:

Part A

The two variables are the amount of pounds that we dont know yet for the nuts and the almonds so we would have to put x for the amount of pounds for pecans and y for the amount of pound for nuts

Part B

2x + 4.50y = 15.25

Step-by-step explanation:

reinhard10158

Step-by-step explanation:

x = pounds of pecans bought

y = pounds of almonds bought

x + y = 6

x×2 + y×4.5 = 15.25

x = -y + 6

(-y+6)×2 + y×4.5 = 15.25

-2y + 12 + 4.5y = 15.25

2.5y = 3.25

y = 3.25 / 2.5 = 3 1/4 / 2 1/2 = 13/4 / 5/2 = 13×2 / 4×5 =

= 26/20 = 13/10 = 1.3 pounds

x = -y + 6 = -1.3 + 6 = 4.7 pounds

Cody could buy 4.7 pounds of pecans and 1.3 pounds of almonds.

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