Question 559628
Let {{{a}}} = number of adult tickets station can buy
Let {{{s}}} = number of student tickets station can buy
given:
(1) {{{ 22a + 19s = 167 }}}
(2) {{{ a + s = 8 }}}
Multiply both sides of (2) by 19 and
subtract (2) from (1)
(1) {{{ 22a + 19s = 167 }}}
(2) {{{ -19a - 19s = 152 }}}
{{{ 3a = 15 }}}
{{{ a = 5 }}}
and
(2) {{{ a + s = 8 }}}
(2) {{{ 5 + s = 8 }}}
(2) {{{ s = 3 }}}
They can buy 5 adult and 3 student tickets
check:
(1) {{{ 22a + 19s = 167 }}}
(1) {{{ 22*5 + 19*3 = 167 }}}
(1) {{{ 110 + 57 = 167 }}}
(1) {{{ 167 = 167 }}}
OK