Dev makes 600 cakes. $18\%$ of the cakes go to a hotel and $\dfrac{2}{3}$ of the cakes go to a supermarket. Calculate how many cakes he has left.
Last updated date: 26th Mar 2023
•
Total views: 308.7k
•
Views today: 2.85k
Answer
308.7k+ views
Hint: Start with the first piece of information, that is calculate of which are the cakes that are going to the hotel and then find $\dfrac{2}{3}$ of 600 cakes which will go to the supermarket, then subtract the total cakes with the sum of the above 2.
Total cakes given are $600$, out of which $18\%$ goes to a hotel, so let us first calculate $18\%$ of the total cakes, which is,
Cakes going to hotel: $\dfrac{{18}}{{100}} \times 600$
Which when calculated comes out to be,
$18 \times 6 = 108$
So, $108$ cakes are sent to the hotel, out of the total, $600$.
Now, let us calculate the cakes which went to the supermarket, which is $\dfrac{2}{3}$ of the cakes, which is,
Cakes going to supermarket: \[\dfrac{2}{3} \times 600\]
Which when calculated comes out to be,
\[\dfrac{{1200}}{3} = 400\]
So, \[400\] cakes are sent to the supermarket.
Now to calculate the cakes left, we will take the total cakes which is $600$ and then subtracting the sum of cakes sent to supermarket and hotel, which is,
\[600 - \left( {400 + 108} \right) = 92\]
Answer = \[92\] cakes are left
Note: Make sure you take $\dfrac{2}{3}$ of 600 and not the remaining cakes.
Total cakes given are $600$, out of which $18\%$ goes to a hotel, so let us first calculate $18\%$ of the total cakes, which is,
Cakes going to hotel: $\dfrac{{18}}{{100}} \times 600$
Which when calculated comes out to be,
$18 \times 6 = 108$
So, $108$ cakes are sent to the hotel, out of the total, $600$.
Now, let us calculate the cakes which went to the supermarket, which is $\dfrac{2}{3}$ of the cakes, which is,
Cakes going to supermarket: \[\dfrac{2}{3} \times 600\]
Which when calculated comes out to be,
\[\dfrac{{1200}}{3} = 400\]
So, \[400\] cakes are sent to the supermarket.
Now to calculate the cakes left, we will take the total cakes which is $600$ and then subtracting the sum of cakes sent to supermarket and hotel, which is,
\[600 - \left( {400 + 108} \right) = 92\]
Answer = \[92\] cakes are left
Note: Make sure you take $\dfrac{2}{3}$ of 600 and not the remaining cakes.
Recently Updated Pages
If abc are pthqth and rth terms of a GP then left fraccb class 11 maths JEE_Main

If the pthqth and rth term of a GP are abc respectively class 11 maths JEE_Main

If abcdare any four consecutive coefficients of any class 11 maths JEE_Main

If A1A2 are the two AMs between two numbers a and b class 11 maths JEE_Main

If pthqthrth and sth terms of an AP be in GP then p class 11 maths JEE_Main

One root of the equation cos x x + frac12 0 lies in class 11 maths JEE_Main

Trending doubts
What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?
