Question

A nut mixture of walnuts and cashew nuts at a small fair is $1.00 per pound of walnuts and $4.19 per pound of cashew nuts. Over the entire day, 121 pounds of the nut mixture were sold for $280.50. If p is the number walnuts and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=121p+4.19n=280.50

Answer 1

it'll just be the 280.50 divided by you equation

Answer 2

Answer: There are 71 walnuts and 50 cashew nuts.

Explanation:

Since we have given that

Cost of per pound of walnuts = $1.00

Cost of per pound of cashew nuts = $4.19

Total number of pounds = 121

Total Amount for mixture = $280.50

Let the number of walnuts be 'p'.

Let the number of cashew nuts be 'n'.

According to question, it becomes,

`n+p=121\\\\\1p+4.19n=\$280.50`

By graphing method, we get that

We get that

p = 71 and n = 50

Hence, there are 71 walnuts and 50 cashew nuts.