SOLUTION: I really hate word problems please please help!!! This one also needs to be in linear equation format Thank you sooo much!!! A pharmacist has two decongestants, one containing 0

Click here to see ALL problems on Linear Equations And Systems Word Problems

Question 181973This question is from textbook
: I really hate word problems please please help!!! This one also needs to be in linear equation format Thank you sooo much!!!
A pharmacist has two decongestants, one containing 0.8% pseudoephedrine HCI the other containing 1.4% of the ame substance. A prescription calls for a decongestant containing 1.1% pseudoephedrine HCI. How much of each should be used to produce 4 ounces of a 1.1% solution???? This question is from textbook

Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A pharmacist has two decongestants, one containing 0.8% pseudoephedrine HCI the other containing 1.4% of the ame substance. A prescription calls for a decongestant containing 1.1% pseudoephedrine HCI. How much of each should be used to produce 4 ounces of a 1.1% solution????
-----------------------------
active + active = active ingredient
0.008x + 0.014(4-x) = 0.011*4 ounces
Multiply thru by 1000 to get:
8x + 14(4-x) = 44
8x + 56 - 14x = 44
-6x = -12
x = 2 oz (amt of 0.8% HCI in the mixture)
4-2= 2 oz (amt of 1.1% HCI in the mixture)
===================
Cheers,
Stan H.

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
A pharmacist has two decongestants, one containing 0.8% pseudoephedrine HCI the other containing 1.4% of the ame substance. A prescription calls for a decongestant containing 1.1% pseudoephedrine HCI. How much of each should be used to produce 4 ounces of a 1.1% solution????
-----------------------
Since 1.1% is the average of 0.8 and 1.4, it'll be half of each.
2 ounces of 1.4% and 1 ounces of 0.8%
Will that do? Or do you need a detailed solution.