A farmer in Punjab has hens and goats. Counting heads gives 40, and counting legs gives 116. If h = number of hens and g = number of goats, then h + g = 40 (heads) and 2h + 4g = 116 (legs). Using elimination, find the number of goats.

Question

Accepted Answer

18. Multiply heads equation by 2: 2h + 2g = 80. Subtract from legs equation: 2g = 36, so g = 18 goats (and 22 hens).

A farmer in Punjab has hens and goats. Counting heads gives 40, and counting legs gives 116. If h = number of hens and g = number of goats, then h + g = 40 (heads) and 2h + 4g = 116 (legs).
Using elimination, find the number of goats.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Elimination Method practice

A farmer in Punjab has hens and goats. Counting heads gives 40, and counting legs gives 116. If h = number of hens and g = number of goats, then h + g = 40 (heads) and 2h + 4g = 116 (legs).Using elimination, find the number of goats.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Elimination Method practice

A farmer in Punjab has hens and goats. Counting heads gives 40, and counting legs gives 116. If h = number of hens and g = number of goats, then h + g = 40 (heads) and 2h + 4g = 116 (legs).
Using elimination, find the number of goats.