Dwight was told by his mystic guru that a special medicine would help him gain superhuman strength to fight bears. The instructions say “Take 2 drops per 10 pounds of body weight per day, in 4 doses a day.” Dwight weighs 180 lbs. There are approximately 20 drops in 1 mL. How many liters of the medicine should Dwight buy to have a supply for the next five years.

If Dwight takes 2 drops per 10 pounds of body weight per day and he weighs 180 pounds, the total drop per 180 pounds will be expressed as;

2drops = 10pounds

x drop = 180pounds

Cross multiply

10x = 360

Divide both sides by 10

10x/10 = 360/10

x = 36 drops

Therefore he uses 36drops per day (This is for one dose)

Since he is to take 4doses of it in a day, the total amount of drops he will take in a day will be 4×36 = 144drops/day

Before we can calculate the amount of litres he will need for the next 5years , we will have to know the total drops he will need for that 5 years first. This is shown below;

Converting 5years to days:

1year = 365days (excluding a leap year)

5years = 5×365 = 1,825 days

Since 1day = 144 drops

1,825 days = x drops

Cross multiply

x = 1825 × 144

x = 262,800 drops

This means that he will need 262,800 drops for 5years

If there are approximately 20 drops in a ml

262800 drops will be in (262800/20)ml

262800/20 = 13140mL

Convert 13140mL to litres

13140mL = 131400× 10^-3 Litres

13140mL = 13140/1000 litres

13140mL = 13.14Litres

Hence Dwight will have to buy 13.14litres of the medicine to have a supply for the next five years.

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3 years ago