Anut mixture of almonds and macadamia nuts at a small fair is $1.00 per pound of almonds and $3.52 per pound of macadamia nuts. over the entire day, 125 pounds of the nut mixture were sold for $316.52. if p is the number almonds and n is the number of macadamia nuts, then the system of equations that models this scenario is: p+n=125p+3.52n=316.52 determine the correct description and amount of pounds for almonds and macadamia nuts that were sold.

the system of equations that models this scenario is:

p+n=125  ----> first equation

p+3.52n=316.52  -----> second equation

p is the number almonds and n is the number of macadamia nuts

Now we solve both equation and find out p  and n

Solve the first equation for p

p+n=125 (subtract n from both sides)

p = 125 - n

Now plug it in second equation

(divide by 2.52)

n = 76

We know p = 125 - n

p = 125 - 76 = 49

Number of pounds of almonds = 49  pounds

Number of pounds of macadamia nuts = 76 pounds

The cost of almond is $1 per pound

So the cost of 49 pounds of almond = $49

The cost of macadamia nuts is $3.52 per pound

So the cost of 76 pounds of almond = $267.52

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this