please solve this question no. 11
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Ask for any doubts at any step, and mention if you find any mistake.
Ask for any doubts at any step, and mention if you find any mistake.
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Question:
The cost of 4 pens and 4 pencil boxes is Rs. 100. Three times the cost of a pen is Rs. 15 more than the cost of a pencil box. Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box.
Solution:
Let the cost of a pen (in rupees) = x
Let the cost of a pencil box (in rupees) = y
According to question
4x + 4y = 100
x + y = 25 (Equation 1)
3x = y + 15
3x - y = 15 (Equation 2)
Adding Equation 1 and Equation 2
x + y + 3x - y = 25 + 15
4x = 40
x = 10
Putting value in Equation 1
x + y = 25
10 + y = 25
y = 25 - 10
y = 15
Therefore,
Cost of a pen = Rs. 10
Cost of a pencil box = Rs. 15
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