Respuesta :
Total number of cakes made by Simon = 30 cakes.
Number of cakes gave to Sali = 1/5 Of total cakes = 1/5 * 30 = 6 cakes.
Number of the cakes gave to Jane = 10% of 30 cakes
10% can be written as 10/100 in fracions and in decimals it would be 0.10.
Therefore, 10% of 30 cakes = 0.10 times 30 = 3 cakes.
Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane = 30-6-3
Therefore, Total number of cakes left = 21.
21 cakes left our of 30 cakes.
21 out of 30 could be written in fracion form as 21/30.
We can reduce this fracion in simplest form by dividing top and bottom by 3, we get
7/10.
Therefore, 7/10 fraction of the cakes does he have left.
Since Simon made 30 cakes, the fraction of the cakes that Simon have left is [tex]\frac{7}{10}[/tex] cakes.
Given the following data:
- Total number of cakes = 30 cakes
- Sali's share = [tex]\frac{1}{3}[/tex]
- Jane's share = 10%
To find what fraction of the cakes Simon have left:
In order to solve this, we would find the fraction of cake that was given to both Sali and Jane.
For Sali:
[tex]Sali = \frac{1}{5} \times 30\\\\Sali = \frac{30}{5}[/tex]
Sali = 6 cakes.
For Jane:
[tex]Jane = \frac{10}{100} \times 30\\\\Jane = \frac{300}{100}[/tex]
Jane = 3 cakes.
Now, we would determine the number left from the cake:
[tex]Remaining = 30 - (6 + 3)\\\\Remaining = 30 - 9[/tex]
Remaining = 21 cakes
As a fraction:
[tex]Remaining \;cakes = \frac{21}{30} \\\\Remaining \;cakes = \frac{7}{10}[/tex]
Read more: brainly.com/question/6201432
