Answer: 83 pounds of walnuts and 51 pounds of cashew nuts.
Step-by-step explanation:
Let p be the amount of pounds for walnuts and n be the amount of pounds for cashew nuts that were sold.
Given : A nut mixture of walnuts and cashew nuts at a small fair is $1.00 per pound of walnuts and $3.10 per pound of cashew nuts.
Over the entire day, 134 pounds of the nut mixture were sold for $241.10.
Then, system of equation represents the given situation will be :-
![p+n=134----------(1)\\\\p+3.10n=241.10----------(2)](https://tex.z-dn.net/?f=p%2Bn%3D134----------%281%29%5C%5C%5C%5Cp%2B3.10n%3D241.10----------%282%29)
Eliminate (1) from (2), we get
![2.10n=107.1](https://tex.z-dn.net/?f=2.10n%3D107.1)
Divide 2.10 from both sides , we get
![n=51](https://tex.z-dn.net/?f=n%3D51)
Put value of n in (1), we get
![p+51=134\\\\\Rightarrow\ p=134-51=83](https://tex.z-dn.net/?f=p%2B51%3D134%5C%5C%5C%5C%5CRightarrow%5C%20p%3D134-51%3D83)
Hence, the correct description will be : 83 pounds of walnuts and 51 pounds of cashew nuts.