4.04 Divide a quantity into a given ratio

Find the total number of parts in the following ratios:

20 is divided into two parts in the ratio 3:2.

25.9 is divided into two parts in the ratio 5:2.

Divide 24 kilograms into the ratio of 4:8.

20 is divided into two parts in the ratio 2:3.

Divide \$500 into the following ratios:

Divide 20 into the ratio 2:5:3.

Divide 30 into the ratio 5:3:2.

28 \text{ kg} is to be divided into the ratio 8:4:2.

A certain metal alloy is made up of tin and zinc in the ratio 2:3. If 40\text{ kg} of this metal alloy is to be made:

The ratio of males to females on a train is 7:4. If the train is carrying 429 passengers:

Tom and Jack divide their earnings of \$714 in the ratio 10:7.

Helen and Lara scored goals in their netball game in the ratio 4:3. If they scored a total of 35 goals:

A piece of string with a total length of 144\text{ cm} is divided into three segments: A, B and C, in the ratio 8:3:5. Find the length of:

A straight line with a total length of 20\text{ cm} is divided into three segments: A, B and C, in the ratio 2:3:5. Find the length of:

\$40 is shared between Maria and Han in the ratio 2:8.

Sally and Mae agree to split \$1000 and divide it in the ratio 30:20.

The ratio of adults to children on a train is 9:4. If the train is carrying 130 passengers:

The numbers of red, blue, green and white jelly beans in a lolly bag are found to be in the ratio of 4:2:5:2. If there are 65 jelly beans in the lolly bag, what is the number of red jelly beans?

Concrete is mixed in the ratio of 1 cement, 2 sand and 3 gravel. How much gravel is needed for 4.2 cubic metres of concrete?

56 building blocks are shared between Mohamad and Isabelle in the ratio 2:5.

James and Emma scored goals in their netball game in the ratio 4:3. They scored a total of 56 goals.

Sasha and John share \$77 in the ratio 5:2. How much money does John receive?

Tricia and Luigi invest money into a business in the ratio 4:9. If Tricia has invested \$2400, how much has Luigi invested?

In a zoo the ratio of elephants to lions is 7:4.

The gas in a container consists of 3 parts oxygen and 5 parts helium. How many litres of oxygen are present if there are 200 litres of gas in the container?

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?

Xavier and Ursula split the cost of the groceries in the ratio 0.5:1.5. Altogether the groceries cost \$140.

Dave and Luke bought a scratch ticket that cost \$10. Dave contributed \$8 and Luke's contribution was \$2. They ended up winning \$30\,000, and decided to share their winnings in the same ratio as they contributed to the price of the ticket.

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}.

How many litres of red paint will Neil need if he wants to make 75 litres of orange paint?

The perimeter of a rectangle is 110 \text{ cm} and the ratio of its length to its width is 6:5.

The length of a garden bed is split into three sections for beans, turnips and parsley respectively in the ratio 6:7:63.

If the total length of the garden bed is 19 metres:

The length of a garden bed is split into three sections for carrots, potatoes and pumpkin respectively in the ratio 4:2:1.

If the total length of the garden bed is 14 metres:

The angles in a triangle are in the ratio 3:4:5. Find the size of the:

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 area of:

Rosa, James and Fernando are redesigning the packaging of a product. The group will receive a 6.2\% bonus on the increase in sales, but it will be shared among them in the ratio 5:8:3. If sales increase by \$6300, calculate James's share of the bonus.