-Almonds worth $4.05 per pound were mixed with walnuts worth $4.15 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 the mixture was $100.88? (Hint: Use x to represent the pounds of walnuts.)
Give the value and mixture
Find the pounds for the walnuts.
Let x be the number of pounds of walnuts.
The number of pounds of almonds is x + 16.
The value of the walnuts is x * $4.15 = $4.15x
The value of the almonds is (x + 16) * $4.05 = $4.05(x + 16)
The total value of the mixture is $100.88.
Therefore, $4.15x + $4.05(x + 16) = $100.88
Expanding the equation, we get $4.15x + $4.05x + $64.8 = $100.88
Combining like terms, we get $8.20x + $64.8 = $100.88
Subtracting $64.8 from both sides, we get $8.20x = $36.08
Dividing both sides by $8.20, we get x = 4.4
Therefore, there are 4.4 pounds of walnuts and 4.4 + 16 = 20.4 pounds of almonds.
The value of the mixture is $100.88.
The pounds of walnuts is 4.4 pounds.