14.03 Find part or whole measures with ratios
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?
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.
Increase the following quantities in the ratio specified:
\$400 in the ratio 3:1.
\$780 in the ratio 5:2.
60\text{ kg} in the ratio 4:3.
800\text{ g} in the ratio 3:2.
1.5\text{ L} in the ratio 2:1.
1200\text{ mL} in the ratio 6:5.
120\text{ cm} in the ratio 10:2.
5.2\text{ m} in the ratio 100:5.
Decrease the following quantities in the ratio specified:
\$500 in the ratio 1:5.
\$820 in the ratio 3:4.
50\text{ kg} in the ratio 2:5.
150\text{ g} in the ratio 1:2.
2.4\text{ L} in the ratio 5:6.
900\text{ mL} in the ratio 4:5.
30\text{ cm} in the ratio 8:10.
3.4\text{ m} in the ratio 5:20.
A clothing store is having a sale and is decreasing the price of all their items in the ratio \\3:4. Find the new sale price of the following items:
A jumper originally priced at \$50.
A dress originally priced at \$120.
A pair of jeans originally priced at \$80.
A skirt originally priced at \$75.
At the beginning of the year, an office supplies store increases the prices of its items in the ratio of 7:6. Find the new increased prices of the following items:
A pencil case originally priced at \$12.
A desk originally priced at \$180.
A pair of jeans originally priced at \$54.
A set of shelves originally priced at \$150.