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In this lesson, we will learn how to use ratios to solve real-world problems.

Q1:

Dalia noticed that the tax on her gross salary is equal to of her net salary. What fraction of her gross salary does she pay in taxes? (Hint: net salary gross salary tax)

Q2:

π΄ π΅ πΆ π· is a rectangle in which π΄ π΅ = 1 8 c m , and πΆ π» πΈ πΉ is a square whose side length is 10 cm, where πΆ π» π» π΅ = 5 9 . Find the length of π΄ π· and the perimeter π of the shaded part.

Q3:

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3βΆ40 pm. At this time, he started pumping gas into the tank. At exactly 3βΆ44 pm, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?

Q4:

Frank is planning out a design for a home. The design includes a bedroom with a rectangular floor. The length of the actual bedroom will be 15 feet. On the blueprint, the length is 3 inches. He notices that the area of the bedroom on the blueprint is 6 in^{2}. What is the actual width of the bedroom?

Q5:

Find the ratio between the perimeter of the triangle π΄ π΅ πΆ and the perimeter of the parallelogram π π π πΏ in its simplest form.

Q6:

For a school project, Sameh decides to compare the population densities of the US and the UK. He finds that, approximately, the population of the US is 323 million and its area is 3.8 million square miles and the UKβs are 65.6 million and 93.6 thousand square miles. Answer the following, working to the nearest whole number.

Work out the population density of the US.

Work out the population density of the UK.

Q7:

A circle has a diameter of 35 cm and a rectangle has sides of 11 cm and 4 cm. Using π = 2 2 7 , express the ratio between the perimeter of the circle and the perimeter of the rectangle in its simplest form.

Q8:

A rectangle has a perimeter of 56 cm and side lengths in the ratio 5 βΆ 2 . What is the area of the rectangle?

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