1. Three truck drivers, Amar, Akbar and Anthony stop at a road side eating joint. Amar orders 10
rotis, 4 plates of tadka, and a cup of tea. Akbar orders 7 rotis, 3 plates of tadka, and a cup of tea. Amar pays 80 for the meal and Akbar pays 60. Meanwhile, Anthony orders 5 rotis, 5 plates of tadka and 5 cups of tea. How much (in ) will Anthony pay?
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By: anil on 05 May 2019 02.37 am
Let cost of 1 roti, 1 tadka and 1 tea be Rs. $$x, y, z$$ respectively. Acc to ques, => $$10x + 4y + z = 80$$ and $$7x + 3y + z = 60$$ => $$10x + 4y = (80 - z)$$ and $$7x + 3y = (60 - z)$$
Solving above equations, we get : => $$x = frac{z}{2}$$ and $$y = 20 - frac{3}{2} z$$ To find : $$5x + 5y + 5z = ?$$ = $$5 [frac{z}{2} + (20 - frac{3 z}{2}) + z]$$ = $$5 imes 20 = 100$$
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Solving above equations, we get : => $$x = frac{z}{2}$$ and $$y = 20 - frac{3}{2} z$$ To find : $$5x + 5y + 5z = ?$$ = $$5 [frac{z}{2} + (20 - frac{3 z}{2}) + z]$$ = $$5 imes 20 = 100$$