How many ml of terpin hydrate elixirs containing 33mg/5ml and 5mg/5ml needed to prepare 6 fl oz of an elixir containing 4mg terpin hydrate per ml?
My calculation: 33mg/5ml = x/100ml - 660mg changes 0.66gm
5mg/5ml = x/100ml - 100mg - 0.1gm
4mg/1ml = x/100ml - 400mg - 0.4gm
1oz = 30 ml
1oz/30ml = 6oz /x , x = 180ml
0.66 0.3
0.4
0.1 0.26
total 0.3 + 0.26 = 0.56
0.3/0.56 = x/180ml x= 96ml 33mg/5ml answer
0.26/0.56 = x/180ml x= 83 5mg/5ml answer
To prepare 6 fl oz of an elixir containing 4mg of terpin hydrate per ml, you can use the following calculations:
1. Convert 6 fl oz to ml: 1 fl oz is equivalent to 30 ml, so 6 fl oz is equal to 180 ml.
2. Determine the amount of terpin hydrate needed for the elixir: The desired concentration is 4mg per ml.
a. Calculate the amount of terpin hydrate in the first elixir, which has a concentration of 33mg per 5ml. Set up a proportion:
33mg/5ml = x/100ml
Cross-multiplying, you get:
33mg * 100ml = 5ml * x
Solve for x to find the amount of terpin hydrate in 100ml of the first elixir:
3300mg = 5ml * x
Divide both sides by 5 to isolate x:
x = 660mg or 660/1000 gm (since 1 gm = 1000 mg)
b. Similarly, calculate the amount of terpin hydrate in the second elixir, which has a concentration of 5mg per 5ml. Set up a proportion:
5mg/5ml = x/100ml
Cross-multiplying, you get:
5mg * 100ml = 5ml * x
Solve for x to find the amount of terpin hydrate in 100ml of the second elixir:
500mg = 5ml * x
Divide both sides by 5 to isolate x:
x = 100mg or 100/1000 gm (since 1 gm = 1000 mg)
3. Determine the amount of each elixir needed for 180 ml of the final elixir:
a. Calculate the amount of the first elixir:
660mg/1000 gm = x/180 ml
Cross-multiplying, you get:
660mg * 180ml = 1000 gm * x
Solve for x to find the amount of the first elixir needed for 180 ml:
x = 1188 mg or 1188/1000 gm
b. Calculate the amount of the second elixir:
100mg/1000 gm = x/180 ml
Cross-multiplying, you get:
100mg * 180ml = 1000 gm * x
Solve for x to find the amount of the second elixir needed for 180 ml:
x = 180 mg or 180/1000 gm
So, to prepare 6 fl oz (180 ml) of an elixir containing 4mg of terpin hydrate per ml, you would need approximately 96ml of the terpin hydrate elixir with a concentration of 33mg/5ml and approximately 83ml of the terpin hydrate elixir with a concentration of 5mg/5ml.