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if 5 ml contains erythromycin ethylsuccinate 200 mg, then 1.6 ml contai…

Question

if 5 ml contains erythromycin ethylsuccinate 200 mg, then 1.6 ml contains how many mg of erythromycin ethylsuccinate?
erythromycin
ethylsuccinate
oral suspersion
(when mixed)
erythromycin activity
200 mg per 5 ml
when reconstituted
rx only

before mixing, store below 86°f (30°c).
directions for mixing: add 53 ml water and shake vigorously.
this makes 100 ml of suspension. for best taste mix at least 15 to 20 minutes
before dosing. after mixing, refrigeration not required; store below 77°f (25°c).
contains erythromycin ethylsuccinate equivalent to 4 g erythromycin. child-resistant
closure not required; exemption approved by u.s. consumer product safety commission.
when mixed as directed, each teaspoonful (5 ml) contains: erythromycin ethylsuccinate
equivalent to erythromycin 200 mg in a fruit - flavored, aqueous vehicle.
dosage may be administered without regard to meals.
usual dose: children: 30 - 50 mg/kg/day in divided doses. see enclosure for adult
dose and full prescribing information. may be taken before, after or with meals.
shake well before using. oversize bottle provides shake space. keep tightly closed.
refrigeration not required. store below 77°f (25°c) and use within 35 days.

Explanation:

Step1: Set up proportion

Let \(x\) be the amount of erythromycin ethylsuccinate in \(1.6\) mL. We know that \(\frac{200\space mg}{5\space mL}=\frac{x\space mg}{1.6\space mL}\).

Step2: Cross - multiply

Cross - multiplying gives us \(5x = 200\times1.6\).

Step3: Solve for \(x\)

First, calculate \(200\times1.6=320\). Then \(x=\frac{320}{5}\).

Answer:

\(64\space mg\)