The total cost of one choclate bar and two identical packs of gum is $4.15. one choclate bar costs $1.00 more than one pack of gum. what is the cost of one choclate bar?

The cost of one chocolate bar is $2.05

Step-by-step explanation:

Let x = the cost of one chocolate bar.

Let y = the cost of one one pack of gum.

The total cost of one chocolate bar and two identical packs of gum is $4.15. This implies that the cost of two identical packs of gum would cost 2y Therefore, the equation will be

x + 2y = 4.15 - - - - - - - - - - - -1

One chocolate bar costs $1.00 more than one pack of gum. This means that

x = y + 1 - - - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes y + 1 + 2y = 4.15

y + 2y = 4.15 - 1

3y = 3.15

y = 3.15/3 = 1.05

x = y + 1 = 1.05 + 1

x = 2.05

The cost of one chocolate bar is $2.05

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

hi do you need an answer for your question?

step-by-step explanation: