Answer:
The pounds of the cashews are used be 3 pound .
Option (a) is correct .
Step-by-step explanation:
Let us assume that the number of pounds of peanuts be x .
Let us assume that the number of pounds of the cashews be y .
As given
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound.
Than the equation becomes
x + y = 10
As given
If peanuts cost $4.00 per pound and cashews cost $6.50 per pound .
Than the equation becomes
4.00x + 6.50y = 4.75 × 10
Simplify the above
400x + 650y = 4750
Than the two equations are
x + y = 10 and 400x + 650y = 4750
Multiply x + y = 10 by 400 and subtracted from 400x + 650y = 4750 .
400x - 400x + 650y - 400y = 4750 - 4000
250y = 750
y = 3 pound
Therefore the pounds of the cashews are used be 3 pound .
Option (a) is correct .