Question

mummy bought a cake. anju ate 2.5 th and sara ate 1.4 th of the cake mummy ate the remaining cake . how much of the cake did mummy eat?

Answer 1

SOLUTION

GIVEN

Mummy bought a cake. Anju ate 2/5 th and Sara ate 1/4 th of the cake Mummy ate the remaining cake .

TO DETERMINE

The amount of the cake Mummy ate

EVALUATION

Here it is given that,

Mummy bought a cake

$\displaystyle \sf{Anju \: ate \: \: \frac{2}{5} \: \: th \: the \: cake}$

$\displaystyle \sf{Sara \: ate \: \: \frac{1}{4} \: \: th \: the \: cake}$

So Anju and Sara ate

$\displaystyle \sf { = \bigg( \frac{2}{5} + \frac{1}{4} \bigg) \:th \: of \: the \: cake }$

$\displaystyle \sf { = \bigg( \frac{8 + 5}{20} \bigg) \: th\: of \: the \: cake }$

$\displaystyle \sf { = \frac{13}{20} \: th\: of \: the \: cake }$

Now the total amount of cake = 1 unit

So Mummy ate

$\displaystyle \sf { = \bigg( 1 - \frac{13}{20} \bigg) \: th \: of \: the \: cake }$

$\displaystyle \sf { = \bigg( \frac{20 - 13}{20} \bigg) \: th \: of \: the \: cake }$

$\displaystyle \sf { = \frac{7}{20} \: th \: of \: the \: cake }$

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