Question 1121777: Sonya’s House of Tea sells loose Lapsang Souchong tea for 95˘ an ounce and Assam Gingia for $1.43 an ounce. Sonya wants to make a 20-oz mixture of the two types, called Dragon Blend, that will sell for $1.10 an ounce. How much tea of each type should Sonya use?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Sonya’s House of Tea sells loose Lapsang Souchong tea for 95˘ an ounce and Assam Gingia for $1.43 an ounce.
Sonya wants to make a 20-oz mixture of the two types, called Dragon Blend, that will sell for $1.10 an ounce.
:
let a = amt of Assam G. tea required
The total amt is 20 oz, therefore
(20-a) = amt of Lapsang S.
:
A typical mixture equation using cents
95(20-a) + 143a = 110(20)
1900 - 95a + 143a = 2200
-95a + 143a = 2200 - 1900
48a = 300
a = 6.25 oz of Assma G. is required
then
20 - 6.25 = 13.75 of Lapsang S
:
:
Check, find the cost of each
.95(13.75) = 13.0625
1.43(6.25) = 8.9375
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$$ for 20 oz: 22.00
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