Let's recallfill in each box with the correct number that will make equivalent r...

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September 2022 2 6 Report

Let's recall
fill in each box with the correct number that will make equivalent ratios
1. 12 : 4 = 3 : __
2. 22 : __ = 11 : 3

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✏️PROPORTION

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LET'S RECALL: Fill in each box with the correct number that will make equivalent ratios.

- Let n be the missing number, to find n we simply equate the product of the means and the product of the extremes.

1. 12 : 4 = 3 : ___

$12 \cdot n = 4 \cdot3$

$12n = 12$

$\begin{gathered} \frac{ \cancel{12}n}{\cancel{12}} = \frac{12}{12} \end{gathered}$

$n = 1$

- Therefore, the value of n is:

$\large \boxed {\rm \green{ \: \: 1\: \: }}$

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2. 22 : ___ = 11 : 3

$n \cdot 11 = 22 \cdot3$

$11n = 66$

$\begin{gathered} \frac{ \cancel{11}n}{\cancel{11}} = \frac{66}{11} \end{gathered}$

$n = 6$

- Therefore, the value of n is:

$\large \boxed {\rm \green{ \: \: 6\: \: }}$

===============================

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Verified answer

✏️PROPORTION

===============================

1. 12 : 4 = 3 : ___

===============================

2. 22 : ___ = 11 : 3

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