Answer:
11 pounds of cashew nuts
Step-by-step explanation:
To solve this problem, we call:
p = number of pounds of peanuts bought
n = number of pounds of cashew nuts bought
We also know that:
- Each pound of peanuts costs $2.75, so the cost of p pounds of peanuts is
[tex]2.75p[/tex]
- Each pound of cashew nuts costs $3.25, so the cost of n pounds of cashew nuts is
[tex]3.25p[/tex]
So the total cost, which in this case is $49.50, can be written as:
[tex]49.50=2.75p+3.25 n[/tex] (1)
We also know that the total number of pounds is 16, so:
[tex]16=p+n[/tex] (2)
From this equation we get
[tex]p=16-n[/tex]
And substituting into (1), we find n:
[tex]49.50=2.75(16-n)+3.25n\\49.50=44-2.75n+3.25n\\5.50=0.5n\\n=\frac{5.50}{0.5}=11[/tex]
So, 11 pounds of cashew nuts.
