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Solve the problem using the Fundamental Law of proportion


Please help me Yung matinong sagot po Sana ​

Solve The Problem Using The Fundamental Law Of ProportionPlease Help Me Yung Matinong Sagot Po Sana class=

Sagot :

UK2019idn

✏️PROPORTIONS

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[tex]\underline{\mathbb{PROBLEMS:}}[/tex]

  • #1. Twelve apples cost Php. 180.00. How much would 25 apples cost?
  • #2. A photographer can take 15 pictures in 6 minutes. How long will it take to take 132 pictures?

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[tex]\underline{\mathbb{ANSWERS:}}[/tex]

[tex]\qquad\LARGE\rm» \:\: 1.\: \green{Php. \:375.00}[/tex]

[tex]\qquad\LARGE\rm» \:\: 2.\: \green{52\:minutes }[/tex]

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[tex]\underline{\mathbb{SOLUTIONS:}}[/tex]

#1. Let x be the price for 25 apples. In the given, we can express the proportional ratio as:

  • [tex] \frac{12}{180} = \frac{25}{x} \\ [/tex]

  • [tex] \frac{1}{15} = \frac{25}{x} \\ [/tex]

  • [tex]1(x) = 15(25)[/tex]

  • [tex]x = 375[/tex]

[tex]\therefore[/tex] 25 apples would cost Php. 375.00.

[tex]\rm[/tex]

#2. Let x be the time it will take to take 132 pictures. In the given, we can express the proportional ratio as:

  • [tex] \frac{15}{6} = \frac{132}{x} \\ [/tex]

  • [tex] \frac{5}{2} = \frac{132}{x} \\ [/tex]

  • [tex]5(x) = 2(132)[/tex]

  • [tex]5x = 264[/tex]

  • [tex] \frac{ \cancel5x}{ \cancel5} = \frac{264}{5} \\ [/tex]

  • [tex]x = 52.8[/tex]

[tex]\therefore[/tex] he would took 52.8 minutes to capture 132 pictures.

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