1 book and 1 pen cost $36. 2 such books and 3 such pens cost $80. What is the cost of 1 pen?
Question
1 book and 1 pen cost 80. What is the cost of 1 pen?
Solution
Let's solve this problem step by step:
Step 1: Let's denote the cost of the book as B and the cost of the pen as P. From the problem, we have two equations:
1B + 1P = $36 (equation 1)
2B + 3P = $80 (equation 2)
Step 2: Multiply equation 1 by 2, we get:
2B + 2P = $72
Step 3: Subtract this new equation from equation 2, we get:
2B + 3P - (2B + 2P) = 72
This simplifies to:
P = $8
So, the cost of 1 pen is $8.
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