A student bought some pens at Rs 8 each and some pencils at Rs 1.50 each . I the total number of pens and pencils purchased is 16 and their total cost is Rs 50 find the number of pens he bought ? ( solve using linear equation in one variable )
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A student bought some pens at Rs 8 each and some pencils at Rs 1.50 each . I the total number of pens and pencils purchased is 16 and their total cost is Rs 50 find the number of pens he bought ?
Solution :
Total cost = Rs.50
Pen = Rs 8
Pencil = Rs. 150
Total Pen and pencil bought = 16 .
Let us frist assume that he bought all pencils
= 16 × 1.5 = Rs.24 .
Difference in the cost :
50 - 24 = 26 .
cost of pen and pencil :
8 - 1.5 = 6.5
Number of pens :
26 ÷ 6.5 = 4
Number of pencils :
16- 4 = 12
Hence, The student bought 12 pencils and 4 pens .
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