Question

In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 : 5 = ___ : 15 C) ___ : 1 = 12 : 3 D) 15 : ___ = 3 : 1

Answer 1

A and B

Explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

`x : 4 = 12 : 16`

Convert to fractions

`(x)/(4) = (12)/(16)`

Multiply through by 4

`4 * (x)/(4) = 4 * (12)/(16)`

`x = (48)/(16)`

`x = 3`

Option B:

`1 : 5= x : 15`

Convert to fraction;

`(1)/(5) = (x)/(15)`

Multiply through by 15

`15 * (1)/(5) = (x)/(15) * 15`

`15 * (1)/(5) = x`

`3 = x`

`x = 3`

Option C:

`x : 1 = 12 : 3`

Convert to fraction

`(x)/(1) = (12)/(3)`

`x = 4`

Option D

`15:x = 3:1`

Convert to fraction

`(15)/(x) = (3)/(1)`

Cross Multiply

`3 * x = 15 * 1`

`3 * x = 15`

Divide through by 3

`x = 5`

From the above calculations.

Option A and B can be filled with 3