# Class 10 Case based problem of Chapter 1 Real Number 3

## Case based: 3

### Solution:

(A) As each packet of patties contains 6 patties and packet of buns has 8 buns, we have to take the LCM of 6 and 8 to find the minimum number of packets of each so that no patty or bun is left out.

Factor of 6 = 2 Ã— 3

Factor of 8 = 2 Ã— 2 Ã— 2

LCM (6, 8) = 2 Ã—Â  2 Ã— 2 Ã—Â  3 = 24

Therefore, 24 patties and 24 buns are required.

Number of packets of patties = 24/6 = 4

Number of packets of buns = 24/8 = 3

(B) Since there should be no wastage, the edge of the towel should exactly divide the length & breadth of the piece of cloth. The dimension of the towel is that highest number which completely divides 16 and 20. So, here we have to find the HCF(16, 20).

Factor of 16 = 2 Ã— 2 Ã— 2 Ã— 2

And factor of 20 = 2 Ã— 2 Ã— 5

âˆ´ HCF(16, 20) = 2 Ã— 2 = 4

So, the dimensions of one small towel that can be cut are 4 m Ã— 4 m.

The minimum number of towels possible = (16 Ã— 20)/(4 Ã— 4)

= 20

## Some other case based question

Class 10 Case based problem of Chapter 1 Real Number 1

Class 10 Case based problem of Chapter 1 Real Number 2

Class 10 Case based problem of Chapter 1 Real Number 3

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