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An amount of 4,080 is divided in the ratio 3:5 between two sisters . How much does each one receive?

Sagot :

[tex]\large{\mathcal{QUESTION:}}[/tex]

An amount of 4,080 is divided in the ratio 3:5 between two sisters . How much does each one receive?

[tex] \\ [/tex]

[tex]\large{\mathcal{SOLUTION:}}[/tex]

Let x be the constant of the ratios , so

  • 3x + 5x = 4080
  • 8x = 4080
  • x = 4080 ÷ 8
  • x = 510

Then , we multiply the constant to the ratios

Sister 1 = 3 × 510 = 1530

Sister 2 = 5 × 510 = 2550

[tex] \\ [/tex]

[tex]\large{\mathcal{ANSWER:}}[/tex]

  • Each one recieved 1530 and 2550

[tex] \\ [/tex]

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PROBLEM :

  • An amount of 4,080 is divided in the ratio 3:5 between two sisters . How much does each one receive?

GIVEN :

  • Amount - 4,080
  • ratio of two sister - 3:5

ASKED :

  • How much does each one receive?

SOLUTION :

[tex]\rm Sister\: 1\\\rm 4080 \times \frac{3}{3 + 5} \\ \rm = 4080 \times \frac{3}{8} \\ \rm 510 \times 3 \\ \rm ={{ \boxed{ \rm{1530}}}} \\\\\rm Sister\: 2\\ 4080 \times \frac{5}{3 + 5} \\ \rm = 4080 \times \frac{5}{8} \\ \rm = 510 \times 5 \\ \rm ={{ \boxed{ \rm{2550}}}} [/tex]

ANSWER :

  • One person receive 1530 , the other receive 2550.

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