Question

13. One third of a herd of the sheep are playing and five eights of the remaining are grazing in the field. The
rest 42 are drinking water from the pond. Find the number of sheep in the herd
​

Answer 1

Answer:

168 sheep's are in the herd

Step-by-step explanation:

FIRSTLY;

Let the total number of sheep's in the herd be equal to a variable. Example;x

SECONDLY;

Let your of in the question be multiplication .Thus by the total number of herds represented by your variable.

THIRDLY;

As already said;

1/3x = playing

then,your remaining =your total minus your the number playing.Thus; x-1x/3.

Furthermore, multiply your result by the five eight .Thus; 2x/3 ×5/8 ending up to get 10x/24 which will be the number grazing on the field.

FOURTHLY;

Add all your result in the aforementioned steps and do any further calculation to arrive at your answer.

CALCULATION

Let;

x be the total number of sheep's.

1/3x =Sheep's playing.

remaining = x-1x/3=2x/3

now;2x/3 × 5/8 = 10x/8 .For number grazing on the field

Also;the rest be your 42=drinking water.

so;your number of sheep's in the herd is;

1/3x+10x + 42 = x

L.C.M= 24

24 × x/3 +24 ×10x/24 + 24 × 42 = 24 × x

8x + 10x + 1008 =24x

GROUPING LIKED TERMS

1008=24x - 18x

1008 = 6x

1008/6 = 6x/6

1008/6 = x

x= 168

Therefore the total number of sheep's in the herd is 168