UK Secondary (7-11) Applications of Ratios II

## Interactive practice questions

There are two celebration dinners happening at Happy Mo's Restaurant. Each has $6$6 men at the table. At Beth’s birthday table there is a ratio of men to women of $1:3$1:3. At Buzz’s table the ratio is $3:1$3:1.

We want to find out what the ratio of men to women will be if the two celebration dinners join together.

a

What is the number of women at Beth's birthday table?

b

What is the number of women at Buzz's table?

c

What is the total number of men at the two tables?

d

What is the total number of women at the two tables?

e

Hence what is the ratio of men to women when the tables are combined?

Easy
Approx 4 minutes

The edge lengths of two different squares are as follows. Square A has an edge length of $3$3 ft. Square B has an edge length of $10$10 ft.

Consider the following ratios:

 $330$330 points $80$80 points
,
 $330$330 points $80$80 minutes

Charlie is practising for a swimming race. He has to practise in a pool that is $\frac{1}{20}$120 of a kilometer long. He knows for every length of this pool he takes $1$1$\frac{1}{3}$13 minutes. How long will he expect to take to complete his race which is over $3$3 kilometers?