Answer:
[tex]\large \boxed{\text{1. 24 doses; 2. 4614 mL}}[/tex]
Step-by-step explanation:
1. Prescription
(a) Calculate the volume of the mouthwash
Tetracycline 0 mL (it's a solid)
Nystatin 40
Diphenhydramine 60
Dexamethasone 140
TOTAL 240 mL
(b) Calculate the number of doses
1 tsp = 5 mL, so a dose of
2 tsp = 10 mL
[tex]\text{No. of doses} = \text{240 mL} \times \dfrac{\text{1 dose}}{\text{10 mL}} = \text{24 doses}\\\\\text{There are $\large \boxed{\textbf{24 doses}}$ in the prescription.}[/tex]
2. Punch
You must convert gallons, pints, and cups to millilitres.
The conversion factors are
1 US gal = 3785 mL
1 US pt = 473 mL
1 US c = 237 mL
(a) Gallons to millilitres
[tex]\text{No. of millilitres} = \frac{3}{4}\text{ gal} \times \dfrac{\text{3785 mL}}{\text{1 gal}} = \text{2839 mL}[/tex]
(b) Pints to millilitres
[tex]\text{No. of millilitres } = \text{3 pt} \times \dfrac{\text{473 mL}}{\text{1 pt}} = \text{1419 mL }[/tex]
(c) Cups to millilitres
[tex]\text{No. of millilitres} = \text{1.5 c } \times \dfrac{\text{237 mL}}{\text{1 c}} = \text{356 mL}[/tex]
(d) Volume of punch
Orange juice = ¾ gal = 2839 mL
Ginger ale = 3 pt = 1419
Pineapple juice = 1½ c = 356
TOTAL = 4614 mL
[tex]\text{The final volume of the punch is $\large \boxed{\textbf{4614 mL}}$}[/tex]
