Simplifying Ratio
Ratio
calculations
Proportional
Division
Direct
Proportion
100

Simplify the Ratio 10 : 8

5 : 4

100

The ratio of blondes : brunettes in a hospital is 5 : 4.

There are 20 blondes. How many brunettes are there?

16

100

Divide £480 in the ratio 1 : 5

£80 : £400

100

If 6 sweets cost £13.50 how much will 3 sweets cost?

£6.75

200

Simplify the ratio 60 : 35

12 : 7

200
The ratio of cola : diet cola was 3 : 4.

If there were 15 cans of cola, how many diet cola were there?

20

200

Divide £650 in the ratio 1:9

£65 : £585

200

If 12 tickets cost £30.00 how much will 13 tickets cost?

£32.50

300

Simplify the ratio 30 : 24

5 : 4

300

The ratio of 'Hard' questions to 'Easy' questions in a test is 1:4. 

If a test consists of 13 hard questions, how many easy questions are there?

52

300

Divide £675 in the ratio 8 : 1 

£600 : £75

300

If 12 treats cost £11.40 how much will 10 treats cost?

£9.50

400

Simplify the ratio 2.4 : 6

2 : 5

400

Ann : Joan = 2:5 (for every £2 Ann earns, Joan earns £5)

If Ann earned £20, how much must Joan have earned?

£50

400

Divide £280 in the ratio 4:3 

£160 : £120

400

If 5 stamps cost £1.25 how much will 3 stamps cost?

75p 

500

Simplify the ratio 30x : 24xy

5 : 14

500

At a school disco, the ratio of pupils to teachers is 20 : 1

If 360 pupils turn up at a disco, how many people in TOTAL should there be at the disco?

378

500

Divide £550 in the ratio 3 : 8 

£150 : £400

500

If 7 pens cost £6.93 how much will 4 pens cost?

£3.96