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I REALLY NEED YOUR HELP!!! PLEASE!!!!!

A store is selling two mixtures of nuts in 20-ounce bags. The first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25. The second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75. How much does one ounce of peanuts and one ounce of cashews cost?

Select one:
a. $0.40 for peanuts and $0.15 for cashews
b. $0.15 for peanuts and $0.40 for cashews
c. $0.12 for peanuts and $0.49 for cashews
d. There is no solution.

Respuesta :

apologiabiology
p=cost per ouce of peanuts
c=cost per ounce of cashews



first mix is
15p+5c=4.25

2nd is
5p+15c=6.75

slright

divide both equations by 5 to make it easier

3p+c=0.85
p+3c=1.35

alright, elmination
multiply first equation by -3 and add to 2nd to eliminate c's

-9p-3c=-2.55
p+3c=1.35 +
-8p+0c=-1.20

-8p=-1.20
divide both sides by -8
p=0.15

sub back

p+3c=1.35
0.15+3c=1.35
3c=1.20
c=0.40




$0.15 for peanuts and $0.40 for cashews


B is answer

The cost of one ounce of peanuts is $ 0.15 and the cost of one ounce of cashews is $ 0.40. Then the correct option is B.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A store is selling two mixtures of nuts in 20-ounce bags.

The first mixture has 15 ounces of peanuts combined with five ounces of cashews and costs $4.25.

The second mixture has five ounces of peanuts and 15 ounces of cashews and costs $6.75.

Let the cost of one ounce of peanuts be x and one ounce of cashews cost be y. Then we have

15x + 5y = 4.25 ...1

5x + 15y = 6.75 ...2

By solving equations 1 and 2, Then we have

x = $ 0.15 and y = $ 0.40

Then the cost of one ounce of peanuts is $ 0.15 and the cost of one ounce of cashews is $ 0.40.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

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