Question
If the total cost of 8 cups and 5 plates is Rs. 260 and the
total cost of 6 cups and 4 plates is Rs. 200, then find the cost of 9 cups.Solution
ATQ,
Let the cost of one cup and one plate be Rs. x and Rs. y, respectively.
ATQ;
8x+5y=260......(I)
6x+4y=200......(II)
Multiply Equation (II) by 5 and Equation (I) by 4, then subtract:
30x+20y−32x−20y=1000−1040
−2x=−40
x=20
Cost of 9 cups = 9×20=180 Rs.
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