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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 Proportion Please Help Me Yung Matinong Sagot Po Sana class=

Sagot :

KAntoineDoixidn

✒️PROPORTION

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[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \Large \:\: \rm 1) \; Php \, 375.00 [/tex]

[tex] \qquad \Large \:\: \rm 2) \; 52.8 \: minutes [/tex]

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

Number 1:

Let x be the price for 25 apples. Determine the proportion.

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

Reduce into lowest terms.

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

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

Cross multiply the proportional ratios.

  • [tex] 1(x) = 25(15) [/tex]

  • [tex] x = 375 [/tex]

Therefore, 25 apples would cost Php 375.00

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Number 2:

Let x be the time it will take to take 132 pictures. Determine the proportion.

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

Reduce into lowest terms.

  • [tex] \frac{15 \div 3}{6 \div 3} = \frac{132}{x} \\ [/tex]

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

Cross multiply the proportional ratios.

  • [tex] 5(x) = 132(2) [/tex]

  • [tex] 5x = 264 [/tex]

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

  • [tex] x = 52.8 [/tex]

Therefore, he would took 52.8 minutes to capture 132 pictures.

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