Almonds worth $4.05 per pound were mixed with walnuts worth $4.95 per pound. How many pounds of each were used if there were 11 pounds of almonds more than there were walnuts and the value of the mixture was $106.65? (Hint: Use to represent the pounds of walnuts.)

Ingredient Pounds Cost per pound Value
Almonds
Walnuts
Mixture
Create an equation that can be used to answer the problem:


There were _____ pounds of almonds and_____ pounds of walnuts.

Respuesta :

4.05x + 44.55 + 4.95x = 106.65
9x + 41.55 = 106.65
92=62.10
°=
62.10
x = 6.9
So, there were approximately 6.9 pounds of walnuts used. To find the
pounds of almonds: 6.9 + 11 = 17.9
Therefore, there were approximately 17.9 pounds of almonds used. In conclusion, there were 17.9 pounds of almonds and 6.9 pounds of walnuts used in the mixture.