<PRE><B>Question 1162586</B>
Mr. Lyons wishes to make a mixture of 12 pounds of tea worth $1.20 per pound by mixing tea worth $1.00 per pound with tea worth $1.30 per pound.
 What part of the mixture will be made up of the less expensive grade?
:
let x = amt of $1 tea required
then
(12-x ) = $1.30 tea required
:
1x + 1.3(12-x) = 1.2(12)
x + 15.6 - 1.3x = 14.4
-.3x = 14.4 - 15.6
-.3x = -1.2
x = -1.2/-.3
x = +4 pounds of the cheap stuff
:
:
Check: (12 - 4 = 8 lb of $1.30 tea)
1(4) + 1.3(8) = 1.2(12)
4 + 10.4 = 14.4</PRE>