2. A book seller supplied 115 textbooks and 1250 exercise books to a school. If the cost
of each textbook is 45 and the cost of each exercise book is *18, what is the amount
the school has to pay in all?
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Answer:
Let the cost of each notebook be 'x' and cost of each textbook be 'y'.
From the data given in the question, we can write the following equation:
3x + 2y = 135
However, it is given that a notebook costs Rs. 5 more than the textbook. Thus,
x = y + 5
Substituting this in the earlier equation, we get
3 (y+5) + 2y = 135
3y + 15 + 2y = 135
5y = 135 - 15
5y = 120
y = \frac{120}{5}5120
y = 24
Substituting y=24 in any of the equations, we get
x = 24 + 5
x = 29
Thus, the cost of each notebook is Rs. 29 and the cost of each textbook is Rs. 24
You can also verify this answer by substituting the values of x and y as follows:
3(29) + 2 (24) = 135
87 + 48 = 135
135 = 135
Hence our solution is correct.
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