There are 12 iron-on patches in 4 packages. Each package has the same number of patches. Write a rule words for the number of packages Leah needs to buy to get x patches. Then write the rule as an algebraic expression.

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Answer:

[tex]y=\frac{x}{3}[/tex]

Step-by-step explanation:

#Number of patches per package is calculated as:

[tex]P_c=\frac{12}{4}\\\\=3[/tex]

-Let y be the number of packages.

-Let x be the number of packages needed. We can express this by diving the number of patches diving the number of patches needed by the number of patches per package,[tex]P_c[/tex]:

[tex]y=\frac{x}{3}[/tex]

Hence, the number of packages is expressed as [tex]y=\frac{x}{3}[/tex]

Following are the calculation to an algebraic expression:

The number of patches included in each package is computed as follows:

[tex]\to P_c = \frac{12}{4}= 3[/tex]

  • Let y represent the total number of packages.
  • Take x be the required number of packages.
  • We may represent this by dividing the number of patches required by the number of patches per package, [tex]P_c[/tex]:

Therefore, the number of packages is "[tex]y = \frac{x}{3}[/tex]"

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