D
Question 3
1 pts
In olden times, apothecaries used to dispense medicine using their own system of measurements
that are listed below. Use these conversions to determine how many milligrams would be in a
sample of 1.250 scruples.
1 apothecary pound = 12 ounces
1 ounce = 8 drams
3 scruples = 1 dram
1.2153 apothecary pound = 1 English pound
1 kg = 2.205 English pounds
Enter your answer to the correct number of significant digits. Do not include the units.

Respuesta :

Changing 1.250 scruples to milligrams.

To convert from a unit to another, First write the conversion guide

then cross multiply in such a way that the  unit  both top and bottom

cancel out each other together with dividing or multiplying  the values associated with them.

To get to the answer we have to wor it out step by step.

First step

3 scruples = 1 dram

1.250 scruples=

= [tex]\frac{1.250 scruples x 1 dram}{3scruples}[/tex] = 0.41667dram

2nd step

8 drams=1 ounce

0.41667drams   =

[tex]\frac{0.41667drams x 1}{8 drams }[/tex]  =0.05208 ounces

3rd step

1 apothecary pound = 12 ounces

?apothecary pound =0.05208 ounces

[tex]\frac{0.05208 ounces x 1apothecary pound }{12 ounces}[/tex] =0.00434 apothecary pound

4th step

1.2153 apothecary pound = 1 English pound

0.00434 apothecary pound =

[tex]\frac{0.00434 apothecary pound x 1 English pound}{1.2153 apothecary pound }[/tex] 

==0.003571 English pound

5th step

1 kg = 2.205 English pounds

 ??kg      =0.003571 English pound

[tex]\frac{0.003571 English pound x 1kg }{2.205 English pounds}[/tex]

=0.00161950kg

6th step

1kg =0.00161950kg

0.00161950kg=

[tex]\frac{0.00161950kg x 0.00161950kg}{1kg}[/tex]

=1,619.50mg

Therefore, 1.250 scruples=1,619.50mg

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