Question

Riti has a box of sweets. She distributes 20%of the sweets.Pooja comes and distributes 15%of the remaining sweets.If a total of 80 sweets were distributed, find how many sweets were there in the box?​

Answer 1

Answer:

please follow me please please marks brainlist

Answer 2

Explanation:

Let there be x sweets. When distributed to 25 children, 8 sweets remained. Hence x/25 gives a remainder of 8.

When distributed among 28 students,the remainder is 22.

Equations would be: x = 25a + 8 ( where a is the quotient) and x= 28b + 22 ( where b is the quotient)

This can be written as:25a = 28b +14. This means that 25a is completely divisible by 28b+14

This can be written as:

=> 25a = 25b +3b +14

Hence 3b+14 is divisible by 25

By trial we get: 3*12+14 is divisible by 25. Hence b=12.

Substituting value of b in the 2nd equation, we get the number as 28*12+22=358.