Question

A nut mixture of almonds and cashew nuts at a small fair is $1.00 per pound of almonds and $4.16 per pound of cashew nuts. Over the entire day, 95 pounds of the nut mixture were sold for $281.44. If p is the number almonds and n is the number of cashew nuts, then the system of equations that models this scenario is:

p + n= 95p + 4.16n = 281.44

Answer 1

There were 36 pounds of almonds and 59 pounds of cashew nuts sold at the fair

Explanation:

The question is

Determine the correct description and amount of pounds for almonds and cashew nuts that were sold

Let

p -----> is the number almonds sold in pounds

n -----> is the number of cashew nuts sold in pounds

we know that

`p+4.16n=281.44` ------> equation A

`p+n=95`

`p=95-n` -----> equation B

substitute equation B in equation A and solve for n

`95-n+4.16n=281.44`

`3.16n=281.44-95`

`3.16n=186.44`

`n=59\ pounds`

Find the value of p

`p=95-59=36\ pounds`

therefore

There were 36 pounds of almonds and 59 pounds of cashew nuts sold at the fair