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You know of a relative who is addicted to pain killers. Due to his history, 2.3g of Tylenol per day is dangerous. He takes 200 mg scored Tylenol tablets every six hours. For each six hour period (he takes the same number of tablets every six hours), how many scored tablets can the relative take without the amount being dangerous

Respuesta :

Answer:

relative can take 2 tablets every six hours or 8 tablets a day without the amount being dangerous

Step-by-step explanation:

Given:

Amount of Tylenol per day that is dangerous = 2.3 g

1 g = 1000 mg

thus,

= 2.3 × 1000 mg

= 2300 mg

Amount of scored Tylenol tablets every six hours = 200 mg

Now,

for 6 hours intervals, total intervals in a day = [tex]\frac{\textup{24}}{\textup{6}}[/tex]  = 4

thus,

He takes Tylenol tablets 4 times a day

Now,

let x be the number of tablets taken in every interval

thus,

4x × 200 mg ≤ 2300

or

800x ≤ 2300

or

x ≤ 2.875

hence, relative can take 2 tablets every six hours or 8 tablets a day without the amount being dangerous

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