Question 211991
Let {{{b}}} = weight of boat
Let {{{m}}} = weight of motor
Let {{{t}}} = weight of trailer
given:
(1) {{{b = m + 1500}}}
(2) {{{b = t + 1900}}}
(3) {{{b + t = 5t}}}
equation (1) isn't useful to the problem
(2) and (3) are 2 equations and 2 unknowns,
so I can use them to solve for {{{b}}}
(2) {{{b = t + 1900}}}
{{{t = b - 1900}}}
and
(3) {{{b + t = 5t}}}
{{{b = 4t}}}
substituting,
{{{b = 4*(b - 1900)}}}
{{{b = 4b - 7600}}}
{{{3b = 7600}}}
{{{b = 2533.33}}}
The boat weighs 2533.33 pounds
check answer:
{{{t = b - 1900}}}
{{{t = 2533.33 - 1900}}}
{{{t = 633.33}}}
{{{b = 4t}}}
{{{2533.33 = 4*633.33}}}
{{{2533.33 = 2533.33}}}
OK