Question
If the total cost of 6 notebooks and 4 pencils is Rs. 240
and the total cost of 5 notebooks and 3 pencils is Rs. 195, then find the cost of 7 notebooks.Solution
ATQ,
Let the cost of one notebook and one pencil be Rs. x and Rs. y, respectively.
ATQ;
6x+4y=240.......(I)
5x+3y=195.......(II)
Multiply Equation (II) by 4 and Equation (I) by 3, then subtract:
20x+12y−18x−12y=780−720
2x=60
x=30
Cost of 7 notebooks = 7×30=210 Rs.
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