--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.)

Question

--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.)

create an equation that be used to answer the problem

Answer 1

Let x be the pounds of walnuts.

Since there were 16 more pounds of almonds than there were pounds of walnuts, there were x + 16 pounds of almonds.
The cost of almonds is 4.05(x + 16).
The cost of walnuts is 4.15x.
The total cost of the mixture is the sum of the cost of almonds and walnuts, which is 4.05(x + 16) + 4.15x.
The equation to solve the problem is 4.05(x + 16) + 4.15x = 100.88.