Question 978683
Cashews Price,  r in dollars per bag
Peanuts Price, r-0.2 dollars per bag


Equal Amounts means that the 34 bags are the same as 17 bags of peanuts and 17 bags of cashews.


{{{17*r+17*(r-0.2)=1.10(34)}}}, equating costs for the two ways of describing the 34 bags.  Left member is sum of the costs of the peanuts and cashews.  Right member is the cost of the 34 bags of combined nuts.


{{{17r+17r-17/5=1.1*34}}}
{{{34r-17/5=1.1*34}}}
{{{34r=1.1*34+17/5}}}
{{{r=1.1*34/34+17/(5*34)}}}
{{{r=1.1+1/10}}}
{{{highlight(r=1.20)}}}, price for one bag of cashews.