Question 279568
given:
{{{x + y = 53}}}
{{{445x + 112y = 12596}}} (in cents)
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From the 1st equation:
{{{y = 53 - x}}}
{{{445x + 112*(53 - x) = 12596}}}
{{{445x + 5936 - 112x = 12596}}}
{{{333x = 12596 - 5936}}}
{{{333x = 6660}}}
{{{x = 20}}}
and, since
{{{y = 53 - x}}}
{{{y = 53 - 20}}}
{{{y = 33}}}
20 pounds @ $4.45/lb and 33 pounds @ $1.12/lb were sold
check:
{{{445x + 112*(53 - x) = 12596}}}
{{{445*20 + 112*(53 - 20) = 12596}}}
{{{8900 + 3696 = 12596}}}
{{{12596 = 12596}}}
OK