Sami decided to give Kachori's to her friends on her Birthday. If she gives 3 Kachori's to each friend, one friend will get only 1 Kachori. If she gives 2 Kachori's to each friend, she will be left with 13 Kachori's. How many Kachori's Sami got on her Birthday?
Answers
Given,
If she gives 3 Kachori's to each friend, one friend will get only 1 Kachori.
If she gives 2 Kachori's to each friend, she will be left with 13 Kachori's.
To find,
Total number of kachoris.
Solution,
Let,the total number of friends = x
(Assume, x as a variable to perform the further mathematical calculations.)
So,in the first scenario,
The number of friends got 3 kachoris = x-1
So,total number of kachoris
= {3×(x-1)}+1
= 3x-3+1
= 3x-2 ....(I)
And,in the second scenario,
The total number of kachoris
= (2×x)+13
= 2x+13 ....(II)
By comparing I and II,we will get the following mathematical equation :
3x-2 = 2x+13
3x-2x = 13+2
x = 15
Putting the value of x in equation I,we get that,
Total kachoris = (3×15)-2 = 45-2 = 43
Hence,she got total 43 kachoris for her birthday.