What graph represents this soultuin

Question

Juan visited a candy store and purchased 7 pounds of candy consisting of Atomic Fire balls and gummy bears. Atomic fireballs cost $4.25 per pound and gummy bears were on sale for $1.25 per pound. Juan spent a total of $14.75, before take. Let x represent the number of pounds of atomic fire balls and y represent the number of pounds of gummy bears Juan purchased

Answer 1

I am going to assume you mean solution, not soultuin.

I am further going to assume that you want to know how many pounds of each candy Juan bought.

The solution will be derived from the following set of linear equations in x and y:

x+y=7

4.25x + 1.25y = 14.25

Th graph in question will have 2 intersecting straight lines representing the 2 equations above.

Answer 2

Since x represents the number of pounds of atomic fire balls and y represents the number of pounds of gummy bears Juan purchased, we can write the following equation:

x + y = 7

Then since atomic fireballs cost $4.25 per pound and gummy bears were on sale for $1.25 per pound, we can write the following equation for the total cost:

4.25 x + 1.25 y = 14.75

Now we can use substitution to solve two equations with two unknowns.

Using the first equation and subtracting y from both sides of the equation, we can write:

x= 7 - y

Then we can substitute 7- y for x in the second equation as follows:

4.25(7 - y) + 1.25 y = 14.75

Using the distributive property and inverse operations, we can now solve for y:

29.75 - 4.25 y + 1.25 y = 14.75

29.75 - 3y = 14.75

29.75 - 3y - 29.75 = 14.75 - 29.75

-3y = -15

-3y/-3 = -15/-3

y = 5 pounds of gummy bears

x + y = 7 so x = 2 pounds of atomic fireballs