A patient needs 45% dextrose 100ml The pharmacy has only 70% dextrose 500ml. a) how much concentrate will you need
b) how much diluent
.70*x + 0(100-x) = .45*100
x = 64.28
so, 64ml of concentrate and 36ml of water
To determine the amount of concentrate (70% dextrose) needed, we can set up a proportion based on the desired concentration (45% dextrose).
Let's assume the amount of concentrate needed is x ml.
Proportion:
70% dextrose / 500ml = 45% dextrose / x ml
To solve for x, we can cross-multiply and solve the equation:
70% dextrose * x ml = 45% dextrose * 500ml
Dividing both sides by 70% dextrose, we get:
x ml = (45% dextrose * 500ml) / 70% dextrose
Now, we can compute this:
x ml = (0.45 * 500) / 0.70
x ml ≈ 321.43
Therefore, you would need approximately 321.43 ml of 70% dextrose concentrate.
To determine the amount of diluent needed, we can subtract the amount of concentrate from the final desired volume (100ml).
b) Diluent volume = Final desired volume - Concentrate volume
Diluent volume = 100ml - 321.43ml (rounded down to 321ml)
Diluent volume ≈ 321 ml
Therefore, you would need approximately 321 ml of diluent.