Question 1: Lauren goes shopping and has £50 to spend. She bought a T-shirt and 3 pairs of leggings.
The T-shirt cost £23.
Each pair of leggings cost Ex
(a) Form an inequality in terms of x.
(b) Solve the inequality to find the possible price of the leggings.
Question 2: Farmer Taylor is placing a fence around his field.
He has 300 metres of fencing but this is not enough.
(a) Form an inequality in terms of x.
(b) Solve the inequality to find the possible width of the field.

price of leggings = £9

Step-by-step explanation:

since 1 T-shirt = 23

and 1 leggings = x

(a) 3x + 23 = 50

(b) 3x = 50-23

3x = 27

x=9

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."