The equality of both units (i.e. mL and ounces) implies they measure the same quantity, and they can be converted between one another.
Given that:
[tex]1 fl\ oz = 29.7mL[/tex]
The measurement in part A is not given. So, I will use an assumed value to provide an explanation.
Assume that the amount of water measured using the measuring cup in part A is 10mL
The equivalent number of ounces (x) is calculated as follows:
[tex]1 fl\ oz = 29.7mL[/tex]
[tex]x = 10mL[/tex]
Cross multiply
[tex]x \times 29.7mL = 1fl\ oz \times 10mL[/tex]
Cancel out common units
[tex]x \times 29.7 = 1fl\ oz \times 10[/tex]
[tex]x \times 29.7 = 10fl\ oz[/tex]
Divide both sides by 29.7
[tex]x = \frac{10}{29.7}fl\ oz[/tex]
[tex]x = 0.3367 fl\ oz[/tex]
Approximate to the nearest half
[tex]x = 0.5 fl\ oz[/tex]
This means that the equivalent amount of water is 0.5 ounces
What if the measurement is 55mL.
We apply the same steps, as follows:
[tex]1 fl\ oz = 29.7mL[/tex]
[tex]x = 55mL[/tex]
Cross multiply
[tex]x \times 29.7mL = 1fl\ oz \times 55mL[/tex]
Cancel out common terms
[tex]x \times 29.7 = 1fl\ oz \times 55[/tex]
[tex]x \times 29.7 = 55fl\ oz[/tex]
Divide both sides by 29.7
[tex]x= \frac{55}{29.7 }fl\ oz[/tex]
[tex]x= 1.85185 fl\ oz[/tex]
Approximate to the nearest half
[tex]x = 2fl\ oz[/tex]
This means that the equivalent amount of water is 2 ounces
Read more about unit conversions at:
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