Question

2 by 5 kgs of butter is used to make 1 cake find the number of cakes that can be made using 12 4by 5 kg of butter

Answer 1

Given that, 

2 by 5 kgs of butter is used to make 1 cake. i.e.,

2/5 kgs butter = 1 cake



multiply both sides with 2, then

(2/5)x2 kgs butter = 1x2 cake

4/5 kgs butter = 2 cakes. ----------- 1



To find:
The number of cakes that can be made using 12 4by 5 kg of butter. let the number be x

12  4/5 kgs of butter = x cakes   [ convert mixed into simple fraction]
64/5 kgs of butter = x cakes
16(4/5) kgs of butter = x cakes


from eqn 1,

16 x (2 cakes) = x cakes (total)

x = 32 cakes.



Therefore, '32 cakes' can be made using 12 4by 5 kg of butter.

Answer 2

Bonjour!

According to the question,

2/5 kgs of butter is used to make 1 cake.

We can write it as follows;

$\frac{2}{5} = 1$

We have to find number of cakes that can be made using 12 4/5 kg of butter.

So,

To find the required answer we will do the following steps;

Divide the total butter given by the butter required to make one cake.(unitary method)

$= > \frac{12 \: \frac{4}{5}}{ \frac{2}{5} } \\ \\ = > \frac{ \frac{64}{5} }{ \frac{2}{5} } \\ \\ = > \frac{64}{2} \\ \\ = > 32$

So, total number of cakes formed in 12 4/5 kgs of butter will be equal to 32.

$(12 \frac{4}{5} \: kgs \: butter \: = 32 \: cakes \: )$

Hope this helps...:)