Question 280112
Let {{{y}}} = the year the Brooklyn Bridge was built
Then {{{y + 54}}} = the year the Golden Gate was built
given:
{{{1983 - (y + 54) = (23/50)*(1983 - y)}}}
{{{50*(1929 - y) = 23*(1983 - y)}}}
{{{96450 - 50y = 45609 - 23y}}}
{{{27y = 96450 - 45609}}}
{{{27y = 50841}}}
{{{y = 1883}}}
{{{y + 54 = 1883 + 54}}}
{{{y + 54 = 1937}}}
the Brooklyn Bridge was built in 1883
the Golden Gate Bridge was built in 1937
check answer:
{{{1983 - y - 54 = (23/50)*(1983 - y)}}}
{{{1983 - 1883 - 54 = (23/50)*(1983 - 1883)}}}
{{{100 - 54 = (23/50)*100}}}
{{{50*46 = 2300}}}
{{{2300 = 2300}}}
OK