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Redlands School sent x students to a revision day.
St Samuel's School sent twice as many students as Redlands School.
Francis Long School sent 7 fewer students than Redlands School.

Each student paid £15 for the revision day
The students paid a total of £1155

Work out how many students were sent by each school to the revision day
Show all working out.

Respuesta :

frika

Let x be the number of students that Redlands School sent to a revision day.

If St Samuel's School sent twice as many students as Redlands School, then St Samuel's School sent 2x students.

If Francis Long School sent 7 fewer students than Redlands School, then Francis Long School sent x-7 students.

The total number of students is

x+2x+x-7=4x-7.

Each student paid £15 for the revision day, then all together they paid  £15·(4x-7) that is £1155. Solve this equation:

15·(4x-7)=1155,

60x-105=1155,

60x=1155+105,

60x=1260,

x=1260:60,

x=21.

Then,

  • Redlands School sent to a revision day 21 students;
  • St Samuel's School sent  to a revision day 42 students;
  • Francis Long School sent to a revision day 14 students.

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