SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to prod

Question 1189867: The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is
attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220
pints of a mixture that is 95% pure fruit juice?
First drink ? Pints
Second drink ? Pints ''.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The Royal Fruit Company produces two types of fruit drinks.
The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice.
let a = the amt of 100% juice
let b = amt of 80% juice required
:
The company is attempting to produce a fruit drink that contains 95% pure fruit juice.
How many pints of each of the two existing types of drink must be used to make 220 pints of a mixture that is 95% pure fruit juice?
:
Two equations
a + b = 220
and
a + .8b = .95(220)
a + .8b = 209
Use elimination on these two equation
a + b = 220
a +.8b = 209
---------------subtraction eliminates a, find b
0 + .2b = 11
b = 11/.2
b = 55 pints of 80% juice
then
220 - 55 = 165 pints of 100% juice

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