Question

The differnce in price in colerd pencils and mechanical pencils is $0.20. If I purchased 18 colord pencils and 22 mechanical pencils for $27.60, what is the cost of the mechical pencil

Answer 1

Answer: Mechanical Pencils are $0.60

Colored Pencils are $0.80

Step-by-step explanation:

18c+22m=27.60

c-m=.20

+m +m

so c= .20+m

Susitituete 18(.20+m)+22m=27.60

3.6+18m +22m=27.60

40m=27.60

40m=24

m=.60

c=.20+(.60)

c=.80

Answer 2

To find the cost of a mechanical pencil, we set up two equations: M = C + 0.20 and 18C + 22M = 27.60, based on the given information. By using substitution or elimination methods, we can solve for C first and then determine the value of M.

Step-by-step explanation:

To solve this problem, we need to set up two equations based on the information given. Let's let C represent the cost of a colored pencil and M represent the cost of a mechanical pencil. According to the question, the difference in price between colored pencils and mechanical pencils is $0.20, so we can write the following equation:

1) M = C + 0.20

We are also told that the total cost for purchasing 18 colored pencils and 22 mechanical pencils is $27.60, so we can set up another equation to represent this:

2) 18C + 22M = 27.60

We now have a system of equations that can be solved using substitution or elimination. If we use substitution, we can solve for C first and then use its value to find M. Here's how it can be done step by step:

• Substitute the expression for M from equation 1) into equation 2).
• Simplify the equation and solve for C.
• Once we find C, substitute it back into equation 1) to find M.

After carrying out these steps, we would find that the cost of one mechanical pencil is the value of M we calculated.

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