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if a pen and a pencil cost 55 dollars and the pen cost 50 mor dollars than the pencip what is the answer​

1 Answer

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Answer:

The pen is $52.50 and the cost of the pencil is $2.50.

Explanation:

What is the answer if a pen and a pencil cost 55 dollars and the pen cost 50 more dollars than the pencil​?

Step 1: Let Statements

Let a be the cost of the pen

Let b be the cost of the pencil

Step 2: Write Equations

a + b = 55

a = 50 + b

Step 3: Find POI

Using substitution to find the POI of both equations:

50 + b + b = 55

50 + 2b = 55

2b = 55 - 50

2b = 5

b = 5/2 or 2.5

Substitute b = 5/2 to solve for a

a = 50 + b

a = 50 + 2.5

a = 52.5

Therefore, a = 52.5 and b = 2.5

Step 4: Concluding Sentence

The cost of the pen is $52.50 and the cost of the pencil is $2.50.

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