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Writing Proportions

A proportion is a comparison between two ratios.

A ratio is a proportion between two numbers.

To write a proportion, create two comparisons with two numbers and set them equal to each other.

Solving the Question

We're given:

  • $117 per week
  • $234 per 2 weeks
  • These ratios are proportional to each other

Write two ratios:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}[/tex]

[tex]\dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Set them equal to each other:

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]

Answer

[tex]\dfrac{117\hspace{3}dollars}{1\hspace{3}week}= \dfrac{234\hspace{3}dollars}{2\hspace{3}weeks}[/tex]