5.03 Find part or whole measures with ratios

The ratio of people to chairs is 7:8. If there are 49 people, how many chairs 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, 1000 Bristlecone pine trees are planted. How many Aleppo pines are planted?

A salad dressing is supposed to have a 5:16 ratio of vinegar to oil. If there are 13\text{ mL} of vinegar, how many millilitres of oil should be added?

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?

Avril is making a scarf that uses two materials. She wants to use the materials in the ratio of \dfrac {11}{15} \text{ m} of red for every \dfrac {3}{5} \text{ m} of green.

Quentin is making a scarf that uses two materials. He will have to use \dfrac{3}{10}\text{ m} of green material for every \dfrac{2}{5}\text{ m} of blue material.

The movement of Earth and Venus orbiting the Sun is compared. It takes the 8-Earth years and 13-Venus years to go around the sun before they are both at their starting positions.

James and Emma scored goals in their netball game in the ratio 4:3.

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

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?

\$15 is shared between Eileen and Luke in the ratio 7:3. How much money does each get?

James and Sophia share \$880 in the ratio 2:9.

The ratio of adults to children on a train is 2:7. The train is carrying 360 passengers.

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}.

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

The perimeter of a rectangle is 42\text{ cm} and the ratio of its length to its width is 4:3.

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 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 .

A piece of rope is cut into three lengths in the ratio 3:4:8. The shortest length of rope is measured to be 18 \text{ m} long.

The ratio of students who play badminton, football and softball is 2:5:9.

All students in a school play sport on Friday afternoons. The ratio of students who play tennis, soccer and rugby is 3:8:11.

Three siblings find 700 \text{ kg} of treasure. They split it up in the ratio 1:4:9. The youngest sibling receives the smallest portion, and the oldest sibling receives the largest.

Roxanne is mixing red, blue and yellow paint in a container. The tub of paint is filled to 300 \text{ mL}. She remembers that she added 60 \text{ mL} of red paint and that the ratio of red to blue paint is 4:7.

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

There are three planets orbiting the star Kepler-37. The planets are named Kepler-37b, Kepler-37c, and Kepler-37d. The number of times each exoplanet orbits the star before they are all at their starting positions is shown in the following table: