In a stationary store, pencils have one price and pens have another price. Two pencils and three pens cost 78 cents. However, 3 pencils and 2 pens cost 72 cents . How much does one pencil cost?

Pencils cost $0.12

Step-by-step explanation:

Set up a system of equations :D

let x represent pencils

let y represent pens

2x + 3y = 0.78

3x + 2y = 0.72

Because we are only interested in pencils we will solve for x first.

Isolate y in either equation, lets do the first one.

3y = 0.78 - 2x

y = (0.78 - 2x)/3

Simplify

y = 0.26 - (2x/3)

Now plug what we got into Y in the other equation

3x + 2 (0.26 - (2x/3)) = 0.72

solve by simplifying

3x + 0.52 - (4x/3) = 0.72

3x - (4x/3) = 0.20

9x/3  -  4x/3 = 0.20

lets change 0.2 into a fraction 2/10 simplified to 1/5

5x/3 = 1/5

25x/15 = 3/15

25x=3

x= 3/25 = 0.12

the axial of symmetry

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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