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Can you eat 150% of a cake?...

Can you eat 150% of a cake?

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Pranav, Vishu, Vinni, Ritika bought a cake. Pranav ate 1/3 of the cake. Vishu and Vinni ate 1/4 of the cake. Ritika ate 1/5 of the cake. Who ate more cake? How much cake was eaten altogether. How much cake was left?

One kind of cake requires 300 gm of flour and 15 gm of fat and another kind of cake requires 150 gm of flour and 30 gm of fat. Find the maximum number of cakes that can be made from 7.5 kg of flour and 600 gm of fat. Form a linear programming problem and solve it graphically.