Price of 2 pens and 3 pencils is 86, the price of 4 pens and 1 pencil is 112. Find the price of a pen?
- 25
- 18
- 12
- 15
Explanation
Let's set up the equations based on the given information:
1. 2p + 3c = 86 (Equation 1)
2. 4p + 1c = 112 (Equation 2)
where p is the price of a pen and c is the price of a pencil.
To solve for p and c, we can use substitution or elimination. Let's use the elimination method.
First, solve Equation 2 for c:
4p + c = 112
c = 112 - 4p
Now, substitute this expression for c into Equation 1:
2p + 3(112 - 4p) = 86
2p + 336 - 12p = 86
2p - 12p = 86 - 336
-10p = -250
p = 25
So, the price of a pen is 25.
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