Question 127468
Let {{{h}}} = highway miles driven
Let {{{c}}} = city miles driven
{{{h + c = 349.5}}}
{{{c = 349.5 - h}}}
Use (miles driven) / (miles/gallon) = gallons used
(gallons used on hwy) + (gallons used in city) = total gallons used
{{{h/26 + c/19 = 16}}}
{{{h/26 + (349.5 - h)/19 = 16}}}
multiply both sides by {{{19*26}}}
{{{19h + 26(349.5 -h) = 16*19*26}}}
{{{19h + 9087 - 26h = 7904}}}
{{{-7h = -1183}}}
{{{h = 169}}}
{{{c = 349.5 - h}}}
{{{c = 349.5 - 169}}}
{{{c = 180.5}}}
169 miles were driven on the highway and 180.5 miles were 
driven in the city
check:
{{{h/26 + c/19 = 16}}}
{{{169/26 + 180.5/19 = 16}}}
{{{6.5 + 9.5 = 16}}}
{{{16 = 16}}}
OK