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?
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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.