Question 894360
( hours worked / day ) x ( workforce ) = daily production
Let {{{ P }}} = the daily production
The size of the workforce isn't given, so
I'll call it {{{ 100 }}}
Before cutting workforce:
(1) {{{ 8*100 = P }}}
After cutting workforce:
(2) {{{ 10*( 100 - 100*( x/100 ) ) = P }}}
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(1) {{{ P = 800 }}}
(2) {{{ 10*( 100 - x ) = P }}}
(2) {{{ P = 1000 - 10x }}}
Substitute (1) into (2)
(2) {{{ 800 = 1000 - 10x }}}
(2) {{{ 10x = 1000 - 800 }}}
(2) {{{ 10x = 200 }}}
(2) {{{ x = 20 }}}
x% = 20%