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4. Mr. Garcia has a total of 25 students in his class.
The number of boys is 9 greater than 1/3 of the number of girls. Write a system of equations to
represent number of boys, b, and girls, g. Solve. Interpret

Respuesta :

The system of equations which can be used to

represent number of boys, b, and girls, g is 25 = g + ( 1/3g + 9)

Equation

There are three basic types of equation in mathematics. Namely:

  • Linear equations
  • Quadratic equations
  • Simultaneous equations

  • Total number of students = 25
  • Number of girls = g
  • Number of boys, b= 1/3g + 9

25 = g + ( 1/3g + 9)

25 = g + 1/3g + 9

25 = 1 1/3g + 9

25 - 9 = 1 1/3g

16 = 4/3

g = 16 ÷ 4/3

= 16 × 3/4

= 12

Therefore, the system of equations which can be used to represent number of boys, b, and girls, g is 25 = g + ( 1/3g + 9)

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