MATH SOLVE

5 months ago

Q:
# 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

Accepted Solution

A:

Answer:There were 36 pounds of almonds and 59 pounds of cashew nuts sold at the fairStep-by-step explanation:The question isDetermine the correct description and amount of pounds for almonds and cashew nuts that were soldLetp -----> is the number almonds sold in poundsn -----> is the number of cashew nuts sold in poundswe know that[tex]p+4.16n=281.44[/tex] ------> equation A[tex]p+n=95[/tex] [tex]p=95-n[/tex] -----> equation Bsubstitute equation B in equation A and solve for n[tex]95-n+4.16n=281.44[/tex] [tex]3.16n=281.44-95[/tex] [tex]3.16n=186.44[/tex] [tex]n=59\ pounds[/tex] Find the value of p[tex]p=95-59=36\ pounds[/tex]thereforeThere were 36 pounds of almonds and 59 pounds of cashew nuts sold at the fair