Question 1058017
Let {{{ x }}} = gallons/day of water city B uses
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(1) {{{ 28925000 / 225000 = x / 4890000 }}}
Divide top and bottom of the left side
by {{{ 25000 }}}
{{{ 1157 / 9 = x / 4890000 }}}
Multiply both sides by {{{ 9*4890000 }}}
{{{ 1157*4890000 = 9x }}}
{{{ 9x = 5657730000 }}}
{{{ x = 628636666.7 }}}
City B will use 628,636,666.7 gallons/day
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check:
Take the logs of both sides of (1)
(1) {{{ log( 28925000 ) - log( 225000 ) = log( 628636666.7 ) - log( 4890000 ) }}}
(1) {{{ 7.461273368 - 5.352182518 = 8.798399709 - 6.689308859 }}}
(1) {{{ 2.10909085 = 2.10909085 }}}
OK