Answer: 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