Complete the following pairs of equivalent ratios:
Write down three ratios that are equivalent to the following ratios:
The following table shows the ratio of dogs to cats:
Complete the table of equivalent ratios.
If there are 270 dogs, how many cats would there be?
Simplify the ratio of the number of dogs to cats from part (b).
| Dogs | to | Cats |
|---|---|---|
| 9 | : | 5 |
| 18 | : | 10 |
| 27 | : | |
| 45 | : | |
| : | 50 |
Tricia and Luigi invest money into a business in the ratio 4:9. If Tricia has invested \$2400, how much has Luigi invested?
The ratio of students to teachers competing in a charity race is 9:4. If 54 students take part in the race, how many teachers are there?
Two kinds of pine trees, Bristlecone and Aleppo, are planted in rows. In each row the ratio of Bristlecone to Aleppo is 10:9. Altogether, 600 Bristlecone pine trees are planted. How many Aleppo pines are planted?
At a sporting event, the ratio of security guards to spectators is 1:120. If 8400 spectators attend the event, how many security guards will be required?
A painter wants to create a certain colour by mixing two different colours of paint, Vespa and Nitro, in the ratio 4:1. He uses 4 litres of the Nitro colour.
How many litres of the Vespa colour must he use?
How many litres of paint will he have altogether once the two colours are combined?
Simplify the following ratios:
45:35
35:5
450:350
Simplify the following ratios:
\dfrac {1}{2}:3
\dfrac {2}{3}:\dfrac {1}{2}
\dfrac {2}{9}:5
\dfrac {9}{8}:\dfrac {5}{8}
\dfrac {6}{7}:\dfrac {8}{11}
\dfrac {3}{4}:\dfrac {7}{12}
\dfrac {2}{5}:\dfrac {3}{4}
\dfrac {9}{10}:\dfrac {2}{5}
5\dfrac {2}{5}:6
1\dfrac {5}{7}: 1\dfrac {9}{11}
1\dfrac {2}{9}:3
2\dfrac {1}{3}: 1\dfrac {8}{9}
Simplify the following ratios:
7:6.3
1.5:2.4
0.5:2.25
2.4:3.9
2.8:1.6
0.4:2.08
\$0.60:\$2.00
\$5.20:\$9.50
Write the following as simplified ratios:
\$8.20 to \$11.60
540\text{c} to \$3.00
5.4\text{ km} to 420\text{ m}
120\text{ cm} to 5.1\text{ m}
11 years to 28 months
20 days to 5 weeks
Hermione is making a patterned lid for a wooden box. She knows that for every \dfrac {3}{5} metres of mahogony she will need 70 centimetres of oak.
She states the ratio of mahogony to oak as \dfrac {3}{5} : 70. Explain why this ratio is incorrect.
Write the ratio of mahogony to oak using fractions.
Simplify this ratio.
How many metres of mahogony would Hermione need if she wants to use 14 metres of oak?
James and Emma scored goals in their netball game in the ratio 4:3.
Find the fraction of the goals scored by James.
If they scored a total of 56 goals, how many goals did James score?
How many goals did Emma score?
Harris and Bella divided lollies between them in the ratio 5:4.
Find the fraction of lollies that Bella gets.
If there are 27 lollies, how many does Bella get?
How many lollies does Harris get?
56 building blocks are shared between Mohamad and Isabelle in the ratio 2:5.
Find the fraction of the blocks Mohamad receive.
How many blocks does Mohamad receive?
How many blocks does Isabelle receive?
Ben always buys melons and bananas in the ratio 7:3. If he buys 30 pieces of fruit in total, how many melons did he buy?
The ratio of adults to children on a train is 2:7. The train is carrying 360 passengers.
How many adults are on the train?
How many children are on the train?
James and Sophia share \$880 in the ratio 2:9.
How much money does James get?
How much money does Sophia get?
Avril is making a scarf that uses two materials. She wants to use the materials in the ratio of \dfrac {11}{15} metres of red for every \dfrac {3}{5} metres of green.
Write the simplified ratio of red material to green material.
If she needs 33 metres of red material, how many metres of green material will she need?
Neil is mixing paint to get a specific shade of orange. He wants a mix of red and yellow paint in the ratio of 3\dfrac {3}{4}:6\dfrac {2}{3}.
Simplify the ratio.
How many litres of red paint will Neil need if he wants to make 75 litres of orange paint?
Kathleen and Luke invest money in a business in the ratio 3:10.
What fraction did Kathleen contribute?
If Kathleen has invested \$2100, how much did Luke invest?
At a sporting event, the ratio of security personnel to spectators is 1:180. If 34\,200 spectators attend the event, how many security personnel will be required?
Two kinds of pine trees, type A and type B, are planted in rows. In each row the ratio of type A to type B is 9:8 Altogether, 180 type A trees are planted.
How many type B trees are planted?
Xavier and Ursula split the cost of the groceries in the ratio 0.5:1.5. Altogether the groceries cost \$140.
Simplify the ratio.
How much did Xavier pay for the groceries?
A car and a truck are driving down the highway. Their relative speeds are in the ratio \\ 3.1:2.9. If the car is travelling at 93\text{ km/hr}, how fast is the truck travelling?
In a zoo the ratio of elephants to lions is 7:4.
Find the ratio of elephants to lions to the total number of elephants and lions.
Complete the following table of equivalent ratios:
| Elephants | to | Lions | to | Total |
|---|---|---|---|---|
| 7 | : | 4 | : | |
| 14 | : | : | ||
| : | : | 110 |
If there are 66 elephants and lions altogether, how many lions are there? Explain your answer.
The ratio of red, green and black coloured area on a dart board is 12:7:31. The area of the dart board is 150\text{ cm}^2 .
Find the number of ratio parts corresponding to the following:
Red area
Green area
Black area
Total area
Find the size of a single ratio part.
Find the area of the following:
Red area
Green area
Black area
Vanessa competed in a marathon and found that her times for the swimming, cycling and running parts were in the ratio 3:1:2. If the quickest part took 10 minutes, how many minutes did she take to complete the whole marathon?
The ratio of students who play badminton, football and softball is 2:5:9.
If there are 72 students who play softball, how many students play badminton?
Find the total number of students who play one of these sports.
The perimeter of a rectangle is 42\text{ cm} and the ratio of its length to its width is 4:3.
How many parts are in the ratio?
Find the length of the rectangle.
Find the width of the rectangle.