Ratio and Proportions

Ratio and Proportions Tutorial

A method of comparing values.
A ratio is a comparison of quantites measured in the same units. A ratio can be written in a ratioform as 3:6 or in a fraction form as 3/6. Similar to fractions, ratios can be written with terms that have no common factors or in simplist form

Ratio And Proportion Examples

1. Writing each ratio in simplist form.
a) 6:12 ---> 3:6 divide by a comman factor.
b) 15:5 ---> 3:1
c) 16: 40 ---> 4:10
d) 100:30 ---> 10:3

2. Solving Equations.
a) 2:5=20:x
b) x:14=3:7
c) 15:11=150:x

Word Problems

3. The ratio of tickets sold for adults, students, and children was 12:8:3
a) If 432 adult tickets were sold, how many student tickets were sold?
Adult : Students : Children
12 : 8 : 3
432 : 288 : 108
b) If tickets cost $1.75 for adults, $1.25 for students, and $0.50 for children, how much money was collected?
432/$1.75 = $246.86 for every adult
288/$1.25 = $230.40 for every student
108/$0.50 = $216.00 for every child

Ratio and Proportion Practice

1. Write the ratio to compare each quantity to its total. Expree each ratio in simplist form.
a) 5 kg of potassium in 20 kg of ferilizer
b) 12g of fat in 96 g of meat
c) 12 L of water in 14 L of juice
d) 40 mL of chlorine in 850 mL of solution

2. Seven out of ten people prefer Fresh toothpaste. How many would prefer Fresh in a group of 120 people?

3. Write the ratio of dogs to cats.

4. To convert from centimetre to inches, you can use the fact that a 30-cm ruler is just over 12 inches long. A person is 160 cm tall. What is the persons's approximate height, in inches?

Some Fun Video's That Explain More on Ratio and Proportions!

A Website Filled with Fun Games On Ratio and Proportion!


When done with game click on another topic under Ratio and Proportions on thje side board.

By Abbie Lawrie and Sarah Bessette