Mix Problem Math!! A merchant blends tea that sells for $ 3.00 a pound with...

[meisha]

...tea that sells for $2.75 a pound..? A merchant blends tea that sells for $ 3.00 a pound with tea that sells for $2.75 a pound to produce 80lb of a mixture that sells for $2.90 a pound. How many pounds of each type of tea does the merchant use in the blend?

 

[brooks]

3x + 2.75(80-x) = 80 lbs
3x + 220 - 2.75x = $232 (price of 80lbs)
.25x = 12
x = 48
48 lbs of Tea 1 and 32 lbs(80-48) of Tea 2.