Simplifying Ratio
Ratio
calculations
Direct
Proportion
Proportional Relationships
100

Simplify the Ratio 10 : 8

5 : 4

100

The ratio of baby girls:baby boys in a hospital is 4 : 5.

There are 16 baby girls. How many baby boys are there?

20

100

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

$6.75

100

On a blueprint of a house, 1/4 inch is equal to 1 meter. On the blueprint, a bedroom wall is 1 inch.  How long is the actual wall?

4 meters

200

Simplify the ratio 30 : 6

5 : 1

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

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

$32.50

200

It rains 2 inches in 2.5 hours.  At this rate, how much will it rain in 3.5 hours?

2.8 inches.

300

Simplify the ratio 60 : 6

10 : 1

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

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

$9.50

300

Paula can jog 10.8 miles in 2 hours.  At this rate, how far could she jog in 15 hours?

81 miles

400

Simplify the ratio 24 : 20

6 : 5

400

The ratio of Anne's earnings to Joan's earnings is 2:5. 

If Ann earned $25, how much must Joan have earned?

$62.50

400

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

$0.75

400

Max bought 3 candy bars for $2.43.  How much will his friend Malcom pay for 2 candy bars?

$1.62

500

Simplify the ratio 30 : 84

5 : 14

500

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

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

378

500

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

$3.96

500

A copy machine can reduce the size of the material being copied. A diagram measuring 16 cm wide and 20 cm long is reduced.  If the copy of the diagram is 15 cm long, how wide is it?

12 cm

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