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It is estimated that 2/7 of the 11 2/3 hectares of land for a subdivision will be used for roads and the rest will be subdivided into home lots. How many hectares will be used for home lots? ​

Sagot :

Answer:

[tex] \frac{25}{3} hectares \: of \: land \: will \: be \: used \: for \: home \: lots[/tex]

Step-by-step explanation:

Given:

  • 2/7 of the 11 2/3 hectares of land for a subdivision will be used for roads
  • the rest will be subdivided into home lots

Operations:

  • Multiplication and Subtraction

Number sentence:

[tex]n = \frac{35}{3} - ( \frac{35}{3} \times \frac{2}{7} )[/tex]

where n is the hectares used for home lots

Solution:

[tex]n = \frac{35}{3} - ( \frac{35}{3} \times \frac{2}{7} ) \\ n = \frac{35}{3} - (\frac{5}{3} \times \frac{2}{1} ) \\ n = \frac{35}{3} - \frac{10}{3} \\ n = \frac{25}{3} [/tex]

Answer:

[tex]therefore \: \frac{25}{3} \: hectares \: of \: land \: will \: be \: used \: for \: home \: lots[/tex]