Answer:
A and B
Step-by-step explanation:
Given
List of given options
Required
Which will correctly take 3 to fill the blank
Represent the blanks with x
Option A:
[tex]x : 4 = 12 : 16[/tex]
Convert to fractions
[tex]\frac{x}{4} = \frac{12}{16}[/tex]
Multiply through by 4
[tex]4 * \frac{x}{4} = 4 * \frac{12}{16}[/tex]
[tex]x = \frac{48}{16}[/tex]
[tex]x = 3[/tex]
Option B:
[tex]1 : 5= x : 15[/tex]
Convert to fraction;
[tex]\frac{1}{5} = \frac{x}{15}[/tex]
Multiply through by 15
[tex]15 * \frac{1}{5} = \frac{x}{15} * 15[/tex]
[tex]15 * \frac{1}{5} = x[/tex]
[tex]3 = x[/tex]
[tex]x = 3[/tex]
Option C:
[tex]x : 1 = 12 : 3[/tex]
Convert to fraction
[tex]\frac{x}{1} = \frac{12}{3}[/tex]
[tex]x = 4[/tex]
Option D
[tex]15:x = 3:1[/tex]
Convert to fraction
[tex]\frac{15}{x} = \frac{3}{1}[/tex]
Cross Multiply
[tex]3 * x = 15 * 1[/tex]
[tex]3 * x = 15[/tex]
Divide through by 3
[tex]x = 5[/tex]
From the above calculations.
Option A and B can be filled with 3
