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primary 6 | Maths
| Data Analysis
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Q13
Ayshan has some rabbits and chickens in his farm. There are 100 heads and 280 legs altogether. How many rabbits and how many chickens does he have in his farm?
Q14
There are 35 bicycles and tricycles in the park. There are 85 wheels altogether. How many bicycles and how many tricycles are there?
Do note that I do NOT want you to solve using 'Guess and check' method.
Date Posted: 4 years ago
Views: 531
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Q13.
There are 100 heads, so it means there are 100 rabbits and chickens altogether, as 1 animal has 1 head.
1 rabbit has 4 legs, and 1 chicken has 2 legs.
If all are chickens,
Total legs=100×2 =200
Diff (between total legs if all chickens and actual total) = 280-200=80
Difference in no of legs if 1 chicken is replaced by 1 rabbit =4-2=2
No. of rabbits=80÷2=40
No. of chickens=100-40=60
Q14.
1 bicycle has 2 wheels and 1 tricycle has 3 wheels.
If all are tricycles,
Total wheels=3×35=105
Difference (in no of wheels with all tricycles and actual no of wheels)=105-85=20
Difference in no of wheels if 1 tricycle is replaced by 1 bicycle=3-2=1
No of bicycles=20÷1=20
No of tricycles=35-20=15
This method is similar to guess and check, but it's called supposition :)
There are 100 heads, so it means there are 100 rabbits and chickens altogether, as 1 animal has 1 head.
1 rabbit has 4 legs, and 1 chicken has 2 legs.
If all are chickens,
Total legs=100×2 =200
Diff (between total legs if all chickens and actual total) = 280-200=80
Difference in no of legs if 1 chicken is replaced by 1 rabbit =4-2=2
No. of rabbits=80÷2=40
No. of chickens=100-40=60
Q14.
1 bicycle has 2 wheels and 1 tricycle has 3 wheels.
If all are tricycles,
Total wheels=3×35=105
Difference (in no of wheels with all tricycles and actual no of wheels)=105-85=20
Difference in no of wheels if 1 tricycle is replaced by 1 bicycle=3-2=1
No of bicycles=20÷1=20
No of tricycles=35-20=15
This method is similar to guess and check, but it's called supposition :)
More commonly known as the assumption method
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