Stephen and Bridget win some money and share it in the ratio 4:1. Stephen gets £33 more than Bridget. How much did they get altogether?

Given:

Stephen and Bridget win some money and share it in the ratio 4:1.

Stephen gets £33 more than Bridget.

To find:

The money they get altogether.

Solution:

Let Stephen and Bridget will get the amount of 4x and x respectively.

Stephen gets £33 more than Bridget.

Divide both sides by 3.

Now,

Stephen get:

Bridget get:

Total amount =

Therefore, the amount they will get altogether is £55.

- "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."