Question

A doctor prescribed a baby 0.75 ml of medication twice a day but the pharmacist labeled the bottle with instructions to administer 3/4 teaspoon twice a day. Fortunately, the child was not injured. Calculate the excess medication given in one day in milliliters.

Answer 1

`\Huge \boxed{\mathrm{5.89\ ml}}`

`\rule[225]{225}{2}`

Explanation:

The doctor prescribed a baby 0.75 ml of medication twice a day.

`0.75 \cdot 2 = 1.5`

The baby should take 1.5 ml of medication in one day.

The pharmacist labeled the bottle with instructions to administer 3/4 teaspoon twice a day.

`\displaystyle (3)/(4) \cdot 2 = 1.5`

The instructions told to take 1.5 teaspoons of medication in one day.

`\sf 1.5 \ teaspoons = 7.39 \ ml`

The excess medication given in one day (in ml):

`\Longrightarrow 7.39-1.5 \\ \\ \\ \Longrightarrow 5.89`

`\rule[225]{225}{2}`

Answer 2

5.89 mL

Explanation:

doctor prescribed = 0.75 ml (2x a day) = 1.5 mL

pharmacist labeled = 3/4 teaspoon (0.75 teaspoon (2x a day) = 1.5 teaspoon

convert 1.5 teaspoon to mL = 7.39 mL

therefore,

the excess medication given in one day = 7.39 mL - 1.5 mL = 5.89 mL