Turn on thread page Beta
 You are Here: Home >< Maths

# Equation questions watch

1. Hi,

Please could somebody help me out with these questions...

In a school, two exams are set.
The mark out of 100 for the Term 1 exam is added to twice the mark out of 100 for the Term 3 exam.
The students must get at least 150 marks to achieve a pass grade.
A student obtains x marks in the Term 1 exam.

a)Write an appropriate inequality to show the mark,y, that the student must obtain in the Term 3 exam in order to pass.
b) Solve this inequality for y when:
i) x=35
ii) x=49

A large stadium has 21000 seats
The seats are organised in blocks of either 400 or 450 seats.
There are three times more blocks of 450 seats than blocks of 400 seats.
How many blocks of seats are there?

A stallholder sells articles at either £2 or £5 each.
On a particular day, he sold 101 articles and took £331 in revenue.
How many articles were sold at each price?

Many thanks to anyone who can help !
2. For the second question, for every 3 blocks of 450 seats, there is 1 block of 400 seats, so every 4 blocks has to have 1,750 seats, 21000/1,750 = 12, since that's for 4 blocks, 12 x 4 = 48, so there are 48 blocks of seats.
3. (Original post by Katiemc18)
A stallholder sells articles at either £2 or £5 each.
On a particular day, he sold 101 articles and took £331 in revenue.
How many articles were sold at each price?
Your questions are about forming and solving simultaneous equations
For the third one:
let x=the number of £2 items sold and let y=the number of £5 items sold
then the total number of articles sold is x+y
form an equation for that information

the total revenue taken would be x times £2 plus y times £5
form a second equation for that information

Now use your favourite simultaneous equations technique to solve them.
4. The first question
a) Xx2+Y>=150
b)i. 35x2 + Y >= 150 => Y>= 80
ii. 49x2 + Y >= 150 => Y>=52
Posted on the TSR App. Download from Apple or Google Play

Reply
Submit reply
Turn on thread page Beta

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: October 11, 2017

### Edexcel C3 Maths Unofficial Markscheme

Find out how you've done here

### 3,092

students online now

Exam discussions

Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.