Respuesta :
Answer:
Cashew= 36 pounds
Walnut= 4 pounds
Step-by-step explanation:
Given: Cost of Cashew= $1.58 per pound
Cost of walnut= $0.78 per pound
Total weight of mixture= 40 Pound
Cost of mixture= $1.50 per pound.
Lets assume the amount of cashew added in the mixture be "x".
∴ Amount of Walnut in the mixture will be [tex](40-x)[/tex]
Now, forming an equation to total cost and weight of mixture.
⇒ [tex]1.58\times x+0.78 \times (40-x)= 40\times 1.50[/tex]
Using distributive property of multiplication
⇒ [tex]1.58x+31.2-0.78x= 60[/tex]
⇒[tex]0.8x+31.2= 60[/tex]
Subtracting both side by 31.2
⇒[tex]0.8x= 60-31.2[/tex]
⇒[tex]0.8x= 28.8[/tex]
Dividing both side by 0.8
⇒[tex]x= \frac{28.8}{0.8}[/tex]
∴ [tex]x= 36\ pounds[/tex]
Hence, Amount of cashew added in the mixture of nuts is 36 pounds.
Next finding the amount of walnut added in the mixture.
subtituting the value of x
Amount of walnut in the mixture= [tex](40-x)[/tex]
⇒ Amount of walnut in the mixture= [tex](40-36)= 4\ pounds[/tex]
Hence, 4 pounds of walnut added in the mixture.
