Question 720630
They have 146 legs?
Let {{{ c }}} = number of cows
Let {{{ h }}} = number of hens
given:
(1) {{{ c + h = 48 }}}
(2) {{{ 4c + 2h = 146 }}
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(2) {{{ 2c + h = 73 }}}
Subtract (1) from (2)
(2) {{{ 2c + h = 73 }}}
(1) {{{ -c - h = -48 }}}
{{{ c = 25 }}}
and, since
(1) {{{ c + h = 48 }}}
(1) {{{ 25 + h = 48 }}}
(1) {{{ h = 23 }}}
There are 25 cows and 23 hens
check:
(2) {{{ 4c + 2h = 146 }}
(2) {{{ 4*25 + 2*23 = 146 }}
(2) {{{ 100 + 46 = 146 }}}
(2) {{{ 146 = 146 }}}
OK