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Forming Simultaneous Equations

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by

Mr Mattock

on 26 March 2017

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Transcript of Forming Simultaneous Equations

Forming Simultaneous Equations
Starter
Three bananas and one apple cost a total of 65p.
Seven bananas and two apples cost a total of £1.49.

(a) Write down the cost of six bananas and two apples.


(b) Write down the cost of one banana.


(c) Work out the cost of one apple.
Activity
Complete the Simultaneous Scenarios worksheet
Forming and Solving simultaneous equations
Mrs Jones is buying bottles of still and sparkling water.
She buys x bottles of still water and y bottles of sparkling water. Altogether she buys 23 bottles of water.
Still water costs 50p per bottle and sparkling water costs 65p per bottle.
Altogether she spends £13.15.
Write down a pair of simultaneous equations and solve them to find out how many bottles of still water and sparkling water Mrs Jones buys.
L.O. - Form simultaneous equations from problems and solve.
Forming and Solving simultaneous equations
Mrs Jones is buying bottles of still and sparkling water.
She buys x bottles of still water and y bottles of sparkling water. Altogether she buys 23 bottles of water.
Still water costs 50p per bottle and sparkling water costs 65p per bottle.
Altogether she spends £13.15.
Write down a pair of simultaneous equations and solve them to find out how many bottles of still water and sparkling water Mrs Jones buys.
x + y = 23 50x + 50y = 1150
50x + 65y = 1315

15y = 165

x + 11 = 23
y = 11

x = 12
Forming and Solving simultaneous equations
A rectangular shape is made using 12 square tiles placed with equal gaps
between them as shown.
The overall length of the rectangle is 645 mm and the overall width is 475 mm.
Find the length of the tile and the length of the gap.
Forming and Solving simultaneous equations
A rectangular shape is made using 12 square tiles placed with equal gaps
between them as shown.
The overall length of the rectangle is 645 mm and the overall width is 475 mm.
Find the length of the tile and the length of the gap.
4x + 3y = 645

8x + 6y = 1290
3x + 2y = 475

9x + 6y = 1425

x = 135
3(135) + 2y = 475
405 + 2y = 475
2y = 70 y = 35
Starter
Three bananas and one apple cost a total of 65p.
Seven bananas and two apples cost a total of £1.49.

(a) Write down the cost of six bananas and two apples.
£1.30

(b) Write down the cost of one banana.
19p

(c) Work out the cost of one apple.
8p
Plenary
Plenary
4c + 4t = 12
3c = 2t

6c - 4t = 0
10c = 12
c = 1.20

3(1.20) = 2t
3.60 = 2t
t = 1.80
Andrew paid £12 for 4 cups of coffee and 4 cups of tea.
3 cups of coffee cost as much as 2 cups of tea.

Work out the cost of a cup of each drink.
Andrew paid £12 for 4 cups of coffee and 4 cups of tea.
3 cups of coffee cost as much as 2 cups of tea.

Work out the cost of a cup of each drink.
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example
Full transcript