Can you eat 50%of the cake?
Can you eat 100%of the cake?
Can you eat 150 % of the cake?

Dear Student,

Please find below the solution to the asked query:

1 ) Yes , you eat 50 % of the cake .

As : 50 % of a cake = $\frac{50 \times \mathrm{Cake}}{100 } = \left(\frac{1}{2}\right)\left( \mathrm{Cake} \right)$

And we can eat half of a cake .

2 ) Yes , you eat 100 % of the cake .

As : 100 % of a cake = $\frac{100 \times \mathrm{Cake}}{100 } = \mathrm{Cake}$

And we can eat a full cake .

3 ) Now , you eat 150 % of the cake .

As : 150 % of a cake = $\frac{150 \times \mathrm{Cake}}{100 } = \left(\frac{3}{2}\right)\left( \mathrm{Cake} \right) = 1 \mathrm{Cake} + \left(\frac{1}{2}\right)\left( \mathrm{Cake} \right)$

And we can't eat a cake which is more than itself. 


Hope this information will clear your doubts about Comparing Quantities.

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