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

Answer:

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

Step-by-step 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