Agrocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. if peanuts cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of each should he use? let p = pounds of peanuts and let c = pounds of cashews. write a system of equations that could be used to solve the problem.

The required system of equations is,

p + c = 10

4.00p + 6.50c = 47.5

Step-by-step explanation:

Here p represents pounds of peanuts and c represents pounds of cashews,

Given,

Total pounds = 10,

⇒ p + c = 10,

Also, the total pounds is sold at the rate of $4.75 per pound,

So, the total expenditure = 4.75 × 10 = $ 47.5

Peanuts cost $4.00 per pound and cashews cost $6.50 per pound,

Total expenditure = ( 4.00p + 6.50c ) dollars,

⇒ 4.00p + 6.50c = 47.5

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