Question 1146552
Let {{{ a }}} = number of day passes
Let {{{ b }}} = number of weekend passes
-----------------------------------------------
(1) {{{ 137a + 150b = 484608 }}}
(2) {{{ a = b + 374 }}}
---------------------------------------
Plug (2) into (1)
(1) {{{ 137*( b + 374 ) + 150b = 484608 }}}
(1) {{{ 137b + 51238 + 150b = 484608 }}}
(1) {{{ 287b = 433370 }}}
(1) {{{ b = 1510 }}}
and
(2) {{{ a = b + 374 }}}
(2) {{{ a = 1510 + 374 }}}
(2) {{{ a = 1884 }}}
----------------------------
1,884 day passes
1,510 weekend passes
----------------------------
check:
(1) {{{ 137a + 150b = 484608 }}}
(1) {{{ 137*1884 + 150*1510 = 484608 }}}
(1) {{{ 258108 + 226500 = 484608 }}}
(1) {{{ 484608 = 484608 }}}
OK