Question

School A sent some students to a revision day. School B sent twice as many students as School A. School C sent 3 fewer students than School A. Each student paid £10 for the revision day. The students paid a total of £2170 Work out how many students were sent by each school to the revision day. You must show all your working.

Answer 1

School A sent 55 kids, School B sent 110 kids, & School C sent 52 kids.

Explanation:

A = x kids

B = 2x kids

C = x-3 kids

Each kid pays $10, so multiply 10 by the amount of students from each school.

$2170 was payed in total.

So,

2170 = 10(x) + 10(2x) + 10(x-3)

Un-distribute the 10...

2170 = 10 (x + 2x + x - 3)

Divide both sides by 10...

217 = x + 2x + x - 3

Add 3...

220 = x + 2x + x

Combine like terms...

220 = 4x

Divide by 4...

x = 55

Go back to your original equations... plug in 55 for x.

A = (55) kids

B = 2(55) kids

C = (55)-3 kids

Hope this helped. :)