Question 1022755
Let {{{ n }}} = number of employees they have
Let {{{ p }}} = the original pay for each employee
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(1) {{{ ( n + 50 )*( p - 2 ) = n*p + 260 }}}
(2) {{{ ( n - 50 )*( p + 4 ) = n*p - 340 }}}
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(1) {{{ n*p + 50p - 2n - 100 = n*p + 260 }}}
(1) {{{ 50p - 2n = 360 }}}
and
(2) {{{ n*p - 50p + 4n - 200 = n*p - 340 }}}
(2) {{{ 50p - 4n = 140 }}}
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Subtract (2) from (1)
(1) {{{ 50p - 2n = 360 }}}
(2) {{{ -50p + 4n = -140 }}} 
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{{{ 2n = 220 }}}
{{{ n = 110 }}}
They have 110 employees
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check:
(2) {{{ 50p - 4n = 140 }}}
(2) {{{ 50p - 4*110 = 140 }}}
(2) {{{ 50p = 580 }}}
(2) {{{ p = 11.6 }}}
The original pay rate was $11.60/hr
(1) {{{ ( n + 50 )*( p - 2 ) = n*p + 260 }}}
(1) {{{ ( 110 + 50 )*( 11.6 - 2 ) = 110*11.6 + 260 }}}
(1) {{{ 160*9.6 = 1276 + 260 }}}
(1) {{{ 1536 = 1536 }}}
OK