SOLUTION: Two types of tea are blended (mixed) to make a new brand for a Tea Company. A certain percentage of Type A (which is sold for €6.50 a box) is mixed with a certain quantity of Type

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two types of tea are blended (mixed) to make a new brand for a Tea Company. A certain percentage of Type A (which is sold for €6.50 a box) is mixed with a certain quantity of Type       Log On


   

Question 913315: Two types of tea are blended (mixed) to make a new brand for a Tea Company. A certain percentage of Type A (which is sold for €6.50 a box) is mixed with a certain quantity of Type B (sold for €4 a box). The new brand of tea is sold for €5.75 a box. Find the percentage of Type A and Type B that is blended together to form the new brand of tea.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the fraction of type A used
Let +b+ = the fraction of type B used
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(1) +a+%2B+b+=+1+
(2) +%28+6.5a+%2B+4b+%29+=+5.75+
( this equation is for 1 box )
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(2) +650a+%2B+400b+=+575+
and
(1) +400a+%2B+400b+=+400+
Subtract (1) from (2)
(2) +650a+%2B+400b+=+575+
(1) +-400a+-+400b+=+-400+
+250a+=+175+
+a+=+.7+
and, since
(1) +a+%2B+b+=+1+
(1) +b+=+.3+
70% of type A is needed
30% of type B is needed