Two families go to a magic show.

Family 1 buys 4 adult tickets and 3 child tickets; they pay £23.10.

a Write down an equation to illustrate this.

Family 2 buys 3 adult tickets and 5 child tickets, they pay £24.20.

b Write down an equation to illustrate this.

c Calculate the cost of an adult and a child ticket.

Two families go to a concert

Joe buys 3 adult tickets and 7 child tickets; they pay £49.20.

a Write down an equation to illustrate this.

Sandy buys 2 adult tickets and 5 child tickets for £34.80

b Write down an equation to illustrate this.

c Calculate the cost of an adult and a child ticket.

Solve algebraically

3x + 4y = 24

5x + 3y = 29

Solve algebraically

5x + 3y = 34

4x + 5y = 22

The lines intersect at point A.

Find algebraically the coordinates of point A

Two groups of people go ice skating.

Sally pays entry for 5 adults and 3 children.

The total cost of entry is £42.25

a Write down an equation to illustrate this.

Jim pays entry for 3 adults and 2 children, the total cost of entry is £26.

b Write down an equation to illustrate this.

c Algebraically, calculate the price of entry for an adult and the price of entry for a child.

Kenny is renovating his garden.

On his first journey to the garden centre, he buys 5 bags of topsoil and 3 bags of sand for £45.25.

a Write an equation to illustrate this.

On his second journey to the garden centre, he buys 3 bags of topsoil and 4 bags of sand for £36.50

 b Write an equation to illustrate this.

 c Algebraically, calculate the cost of a bag of topsoil and the cost of a bag of sand.