A store sells almonds for $8 per pound and peanuts for $14 per pound. A customer paid $31.50 for a 3-pound mixture of
aimonds and peanuts. The system of equations can be used to represent this situation.
x + y = 3
8x + 14y
31.5
Part A
What does the variable x represent in this system of equations?

Respuesta :

Answer:

The number of pounds of almonds the customer purchased

Step-by-step explanation:

The system of equations can be used to represent this situation is as follows:

x + y = 3

8x + 14y = 31.50

The variable x represents the amount in pound of peanuts.  

The almond cost $8 per pound and peanuts cost $14 per pound.

Therefore,

let

x = amount in pounds of almond

y = amount in pounds of peanuts

The customer bought a total of 3 pound. Therefore,

Total weight in pounds:

  • x + y = 3

The customer paid a total of $31.50 for the 3 pounds mixture. Therefore,

Total cost :

  • 8x + 14y = 31.50

Therefore, the variable x represents the amount in pound of peanuts.  

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