Respuesta :

Answer:

30 gram doses

Step-by-step explanation:

First, turn the fractions into decimals.

1/4 gram to .25 gram

7 1/2 gram to 7.5 gram

Then, divide 7.5 total grams by the .25 grams for each dose.

7.5/.25 = 30

Therefore, you can obtain 30 1/4 gram doses from a 7 1/2 gram vial of medication.

Given:

Weight of the vial = [tex]7\frac{1}{2}[/tex] grams

Weight of one dose = [tex]\frac{1}{4}[/tex] gram

To Find:

Number of doses in one vial.

Solution:

Let the number of doses in a vial = n

Therefore, weight of 'n' doses = [tex]n\times \frac{1}{4}[/tex]

                                                  = [tex]\frac{n}{4}[/tex] grams

Since, the weight of the n doses is equal to the weight of one vial,

[tex]\frac{n}{4}=7\frac{1}{2}[/tex]

[tex]\frac{n}{4}=\frac{15}{2}[/tex]

[tex]n=\frac{15\times 4}{2}[/tex]

[tex]n=30[/tex] doses

Therefore, 30 doses can be obtained from one vial of medication.

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