Almonds worth $4.45 per pound were mixed with walnuts worth $5.15 per pound. How many pounds of each were used if there were 16 more pounds of almonds than there were pounds of walnuts and the value of mixture was $153.76

Answer 1

Let x be the number of pounds of walnuts used.
There were x+16 pounds of almonds used.
The value of the almonds used is 4.45(x+16).
The value of the walnuts used is 5.15x.
The total value of the mixture is 4.45(x+16) + 5.15x = $153.76
Combining like terms, we get 4.45x + 71.2 + 5.15x = 153.76
Combining like terms, we get 9.6x + 71.2 = 153.76
Subtracting 71.2 from both sides, we get 9.6x = 82.56
Dividing both sides by 9.6, we get x = 8.6
There were 8.6 pounds of walnuts used.
Therefore, there were 8.6 + 16 = <<8.6+16=24.6>>24.6 pounds of almonds used. Answer: \boxed{8.6, 24.6}.