A merchant blends tea that sells for $5.45 a pound with tea that sells for $2.45 a pound to produce 80 lb of a mixture that sells for $3.95 a pound. How many pounds of each type of tea does the merchant use in the blend?

Question

A merchant blends tea that sells for $5.45 a pound with tea that sells for $2.45 a pound to produce 80 lb of a mixture that sells for $3.95 a pound. How many pounds of each type of tea does the merchant use in the blend?
  lb	 (at $5.45/lb)
  lb	 (at $2.45/lb)

bobpursley · Answer

ET is lbs of expensive tea CT is cheap tea. ET*5.45+CT*2.45=(80)3.95 but ET=(80-CT) put that into the equation for ET, solve for CT. THen solve for ET