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In a school classroom there is one teacher as well as an unknown number of boys and girls.a If the number of boys is b and the number of girls is g, write an expression for the total numberof people in the classroom, including the teacher.b The teacher and all the students are each wearing two socks. Write two different expressionsfor the total number of socks being worn, one with brackets and one without.

Question

In a school classroom there is one teacher as well as an unknown number of boys and girls.a If the number of boys is b and the number of girls is g, write an expression for the total numberof people in the classroom, including the teacher.b The teacher and all the students are each wearing two socks. Write two different expressionsfor the total number of socks being worn, one with brackets and one without.

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Solution

a. The total number of people in the classroom, including the teacher, can be expressed as: 1 + b + g

b. The total number of socks being worn can be expressed in two ways:

  • With brackets: 2 * (1 + b + g)
  • Without brackets: 2 + 2b + 2g

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