11. The cost of 4 pens and 4 pencil boxes is 100. Three times the cost of a pen is 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.
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Answer:
Let number of pens be x, and number of pencil boxes be y.
4x+4y=100
3x=y+15
y=3x-15
4x+4y=100
4x+4(3x-15)=100
4x+12x-60=100
16x=100-60
16x=40
cost of a pen=40paise or 0.40 rupees
cost of a pencilbox= 1.05 rupees
Step-by-step explanation:
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