Question

some sweets are distributed among 40 kids had there been 20 more kids each kid would have received 5 sweets less. how many sweets were there in total ​

Answer 1

The total number of sweets is 600.

Some sweets are distributed among 40 kids, had there been 20 more kids each kid would have received 5 sweets less.

We have to find the total number of sweets.

Let total number of sweets is x.

∵ x sweets distributed among 40 kids.

∴ number of sweets gotten by each kid = x/40

now kids are increased by 20.

so, number of sweets gotten by each kid = x/(40 + 20) = x/60

A/C to question,

x/40 - x/60 = 5

⇒3x/120 - 2x/120 = 5

⇒(3x - 2x)/120 = 5

⇒x/120 = 5

⇒x = 120 × 5 = 600

Therefore the number of sweets is 600.