Final answer:
To find the correct combination of pounds for almonds and cashew nuts sold, we first need to solve for P_n. We can then check each option to see if it adds up to the total pounds. All options are correct.
Step-by-step explanation:
Given P_n represents the total pounds of nuts sold, where n = 95 and P_4.16n = 281.44, we can solve for P_n. Let's plug in the values:
P_4.16n = 281.44
P_4.16(95) = 281.44
P_394.4 = 281.44
P = \frac{281.44}{394.4}
P \approx 0.7134
Now we can determine the correct combination of pounds for almonds and cashew nuts sold by checking the options:
a) 49.0 pounds of almonds and 46.0 pounds of cashew nuts:
49.0 + 46.0 = 95.0 pounds
b) 36.0 pounds of almonds and 59.0 pounds of cashew nuts:
36.0 + 59.0 = 95.0 pounds
c) 46.0 pounds of almonds and 49.0 pounds of cashew nuts:
46.0 + 49.0 = 95.0 pounds
d) 59.0 pounds of almonds and 36.0 pounds of cashew nuts:
59.0 + 36.0 = 95.0 pounds
Since all options add up to 95.0 pounds, any of the combinations can be correct, including options a, b, c, and d.