120 Students are currently in History or Geography and have Maths or Science next lesson.
There are 12 more students in History than Geography
The ratio Maths : Science = 2:3
From the students in Geography half as many have maths as have science, complete the two way table

Respuesta :

Answer:

  See attached

Step-by-step explanation:

You want the 2-way table represented by ...

  • 120 students total, currently in History or Geography, and having Maths or Science next
  • 12 more students in History than Geography
  • Maths : Science = 2 : 3
  • Science : Maths = 2 : 1 among Geography students.

Sums and Ratios

The number of History students will be 12/2 = 6 more than half the total, so is ...

  History = 120/2 +12/2 = 66
  Geography = 66 -12 = 54

The fraction of the total that is Maths students is 2/(2+3) = 2/5. So the number of Maths students is ...

  Maths = 2/5·120 = 48
  Science = 3/5·120 = 72

The Geography students with Science next is 2/(2+1) = 2/3 of the number of Geography students. That number is ...

  Geography → Science = 2/3·54 = 36
  Geography → Maths = 54 -36 = 18

Table

The attachment shows these numbers in a 2-way table. You may need to interchange rows and columns to match your table.

Ver imagen sqdancefan
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