Question 182987
Let {{{a}}}= units of lumber produced
Let {{{b}}}= units of plywood produced
given:
{{{b = 2a}}}
{{{20a + 45b = 11110}}}
Substituting:
{{{20a + 45*(2a) = 11110}}}
{{{20a + 90a = 11110}}}
{{{110a = 11110}}}
{{{a = 101}}}
and
{{{b = 2a}}}
{{{b = 2*101}}}
{{{b = 202}}}
101 units of lumber must be produced and 202 units of plywood
check answer:
{{{20a + 45b = 11110}}}
{{{20*101 + 45*202 = 11110}}}
{{{20a + 45b = 11110}}}
{{{2020 + 9090 = 11110}}}
{{{11110 = 11110}}}
OK