Answer:
2 pounds of 1st kind and 8 pounds of 2nd kind are mixed.
Explanation:
Given:
Ten pounds of mixed birdseed sells for 8.24 per pound.
Price of the 1st variety of birdseed=5.68 per pound
Price of the 2nd variety of the birdseed=8.88 per pound.
To find :
Pounds of 1st variety of birdseed are used in the mixture=?
Pounds of 2ndvariety of birdseed are used in the mixture=?
Solution:
Let the weight of 1st kind added in mixture be n pounds.
Then weight of 2nd kind will be 10 – n pounds.
Now, total cost of mixture = cost of 1st kind birdseed + cost of 2nd kind birdseed
Weight of mixture x cost per pound = weight of 1st kind x cost per pound + weight of 2nd kind x cost per pound.
Substituting the values,
[tex]10\times8.24 = n\times5.68 + (10-n)\times8.88[/tex]
82.4 = 5.68n + 88.8 – 8.88n
8.88n – 5.68n = 88.8 – 82.4
3.2n = 6.4
[tex]n = \frac{3.2}{6.4}[/tex]
n = 2
Then, weight of 2nd kind is 10 – 2 = 8 pounds.
Hence, 2 pounds of 1st kind and 8 pounds of 2nd kind are mixed.
