Math, asked by QWERTYSLN6445, 11 months ago

The average weight of goats and sheep in a shelter is 65 kgs, the ratio of goat to sheep is 2:1 and the total weight of sheep is 207 kgs less than the total weight of goats, then what is the total number of goat and sheep in the shelter

Answers

Answered by amitnrw
0

Answer:

Multiple answers possible

Sheeps    3         9         23         69      207

Goats       6         18        46         138     414

Step-by-step explanation:

the ratio of goat to sheep is 2:1

Let say Number of Sheep  = K

=> number of Goat  =  2K

Average Weight of Sheep = S

total Weight of Sheep = SK

Total Weight of Goats = SK + 207

Total Weight = SK + SK + 207 = 2SK + 207

Total Goat + Sheeps = 3K

Average weight = 65 kg

=> 65 * 3K  = 2SK + 207

=> 195K = 2SK + 207

=> k(195 - 2S) = 207

=> K = 207/(195 - 2S)

K is  an ineteger

207 =  3 * 3 * 23

K can  be  3  , 9  , 23 , 69 , 207

=> 195 - 2S can  be  1 , 3  , 9  , 23 , 69

Using K = 207 ,  195 - 2S = 1  => S = 97

Sheeps  = 207  , Goat = 414

Using K = 69 ,  195 - 2S = 3  => S = 96

Sheeps = 69  , Goat = 138

Using K = 23 ,  195 - 2S = 9  => S = 93

Sheeps = 23  , Goat = 46

Using K = 9 ,  195 - 2S = 23  => S = 86

Sheeps = 9  , Goat = 18

Using K = 3 ,  195 - 2S = 69  => S = 63

Sheeps = 3  , Goat = 6

Sheeps    3         9         23         69      207

Goats       6         18        46         138     414

Verification for each cae given below

           Number Averagae wt Total wt

Sheeps 207        97                  20079

Goats 414        49                   20286

         621 65                    40365

Number Averagae wt Total wt

Sheeps 69 96         6624

Goats 138 49.5 6831

       207 65         13455

Number Averagae wt Total wt

Sheeps 23 93      2139

Goats 46 51      2346

       69 65     4485

Number Averagae wt Total wt

Sheeps 9 86         774

Goats 18 54.5 981

       27 65          1755

Number Averagae wt Total wt

Sheeps 3 63          189

Goats 6 66          396

       9 65           585

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