Question 24586
He bought them for $30 and made $13.64 (profit). So the total selling price
adds up to $43.64.
Let x = the number sold at $1.29 ea.
Then (36 -x) must be the number sold at $1.09
{{{(1.29) * x + (1.09) * (36 - x) = 43.64}}}
{{{ (1.29 * x) - (1.09 * x) + 39.24 = 43.64}}}
{{{.2 * x = 4.4}}}
{{{ x = 4.4 / .2}}}
{{{ x = 22}}}
22 sold at $1.29 and (36 - 22) = 14 sold at $1.09
check:
{{{(1.29 * 22) + (1.09 * 14) = 28.38 + 15.26}}}
{{{(1.29 * 22) + (1.09 * 14) = 43.64}}}
checks OK