Question 940847
Let {{{ P }}} = Palace tour in miles
Let {{{ L }}} = lake tour in miles
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(1) {{{ P + L = 3.25 }}}
(2) {{{ P = 2L - .5 }}}
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Substitute (2) into (1)
(1) {{{ 2L  - .5 + L = 3.25 }}}
(1) {{{ 3L = 3.75 }}}
(1) {{{ L = 1.25 }}}
and
(2) {{{ P = 2*1.25 - .5 }}}
(2) {{{ P = 2.5 - .5 }}}
(2) {{{ P = 2 }}}
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The lake tour is 1.25 mi
The Palace tour is 2 mi
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check:
(1) {{{ P + L = 3.25 }}}
(1) {{{ 2 + 1.25 = 3.25 }}}
(1) {{{ 3.25 = 3.25 }}}
OK