Question 168136
Let {{{p}}}= kg of groud pork to be used
{{{5.5p}}}= price of {{{p}}} kg of ground pork
{{{4.75*8 = 38}}}= the price of 8 kg of ground beef
{{{5.5p + 38}}}= the price of all the meat used
{{{p + 8}}}= kg of all the meat used
It is given that the price per kg of the mixture is $5.10
{{{(5.5p + 38) / (p + 8) = 5.1}}}
Mulltiply both sides by {{{p + 8}}}
{{{5.5p + 38 = 5.1*(p + 8)}}}
{{{5.5p + 38 = 5.1p + 40.8}}}
{{{.4p = 2.8}}}
{{{p = 7}}}
7 kg of ground pork are needed
check answer:
{{{(5.5p + 38) / (p + 8) = 5.1}}}
{{{(5.5*7 + 38) / (7 + 8) = 5.1}}}
{{{(38.5 + 38) / (7 + 8) = 5.1}}}
{{{76.5 / 15 = 5.1}}}
{{{5.1 = 5.1}}}
OK