188k views
2 votes
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.

User Jwaliszko
by
7.9k points

1 Answer

3 votes

Answer:

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. :)

User Sandeep Kamath
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories