Question

Prescription 1: According to the eScience Lab Manual for Lab 1, Experiment 3, you need to prepare 65 mL of a 60% soda/syrup “prescription”.To do this, you can use the 80% soda solution and the syrup solution (0% strength) that you have in inventory.How many mLs of soda solution do you need to create this final solution?

Answer 1

Let:

x = mL of soda solution

y = mL of syrup solution

The soda solution is 80% strength and the syrup solution is 0% strength, thus the combination of x and y of each solution gives strength of:

80x + 0y

This combination must be 60% strength, thus:

80x + 0y = 60(x + y) [1]

The total amount of solution is 65 mL, thus:

x + y = 65

Substituting in [1]

80x + 0y = 60*65

Operating and simpliifying:

80x = 3900

Dividing by 80:

x = 48.75

I need 48.75 mL of soda solution