Question

Deepak has some hens and some goats. If the total number of animal heads is 90 and the total number of animal feet is 248, what is the total number of goats Deepak has?

• A. 32
• B. 36
• C. 34
• D. Cannot be determined

Answer 1

The correct option is C 34

(H) Hens has one head and two feet.
(G) Goats has one head and four feet.
According to question,
H + G = 90
2H + 4G = 248
Multiplying by 2 in equation (1) and subtract
$2H+2G=180$
$2H+4G=148$
$\underset{–}{--}-2G=-80$
$\therefore$ G = 34
$\therefore$ Number of goats = 34
Put the value of G in Equation (1)
H + 34 = 90
H = 56