Ninamikaelaviz
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An amount of P 12 750 will be divided to Sarah, James and Carla in the ratio of 3:5:7 respectively. How much will each receive?​

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Hanimeyaviz

[tex]\sf{\underline{{Problem:}}}[/tex]

An amount of P12,750 will be divided to Sarah, James and Carla in the ratio of 3:5:7 respectively. How much will each receive?

[tex]\sf{\underline{{Answer:}}}[/tex]

  • [tex] \rm{Sarah= 3}[/tex]
  • [tex] \rm{James = 5}[/tex]
  • [tex] \rm{Carla = 7}[/tex]
  • [tex] \rm{3 + 5 + 7 = 15}[/tex]

[tex] \rm{12,750 ÷ 15 = 850}[/tex]

  • [tex] \rm{850 × 3 = 2,550}[/tex]
  • [tex] \rm{850 × 5 = 4,250}[/tex]
  • [tex] \rm{850 × 7 = 5,950}[/tex]

Hence, Sarah will receive Php 2,550.00 ,James will receive Php 4,250.00 and Carla will receive Php 5,950.00 from the amount Php 12,750.

Checking ✅ :

  • [tex] \text{A = 2,550 + 4,250 + 5,950}[/tex]
  • [tex] \text{A = 6,800 + 5,950 }[/tex]
  • [tex] \text\green{A = 12,750 }[/tex]

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UK2019viz

✏️RATIO

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Problem: An amount of P 12,750 will be divided to Sarah, James and Carla in the ratio of 3:5:7 respectively. How much will each receive?

Solution: Let x be the number multiplied to each part of the ratio and equate of an amount of P 12,750.

  • [tex]3x + 5x + 7x = 12750[/tex]

  • [tex]15x = 12750[/tex]

  • [tex] \begin{gathered} \frac{15x}{15} = \frac{12750}{15} \end{gathered}[/tex]

  • [tex] \begin{gathered} \frac{ \cancel{15}x}{ \cancel{15}} = \frac{12750}{15} \end{gathered}[/tex]

  • [tex]x = 850[/tex]

- Substitute the value of x to each part of the ratio.

  • [tex]3(850) : 5(850) : 7(850)[/tex]

  • [tex]2550 : 4250 : 5950[/tex]

- Therefore, the amount of P 12,750 was divided into 3 person. Sarah has an amount of P 2,550, James has an amount of P 4,250 and Carla has an amount of P 5,950.

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