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In this lesson, we will learn how to use the concept of ratios to solve word problems of finding unknown numbers.

Q1:

If a tennis ball weighs the same as 15 pieces of sweet, and an orange weighs the same as 2 tennis balls, determine how many pieces of sweet would weigh the same as an orange.

Q2:

Nabil bought 2 kg of oranges for 12 LE. How much would he pay for 6 kg?

Q3:

The table shows the number of cups of each ingredient to add to a recipe. Given that the ratio of flour to the total number of cups used in the recipe is 1 to 2, how many cups of flour are needed?

Q4:

The ratio of the height of Fady to that of Adam is 3 ∶ 1 and the ratio of the height of Adam to that of Fares is 2 ∶ 5 . Find the ratio of the height of Fady to that of Fares.

Q5:

An irrigation machine uses 4 litres of fuel every 2 hours. How many litres will the machine use in 5 hours?

Q6:

Write the ratio of the volume of the small box to the volume of the large box.

Q7:

The ratio of the number of cups of diced tomatoes to the number of cups of diced cucumbers for a salad recipe is 9 7 : . If a salad recipe called for 3 7 of a cup of diced tomatoes, determine how many cups of diced cucumbers are needed.

Q8:

A piece of land with an area of 80 acres will be shared between a school, a park, and a hospital. The school will get 8 acres and the remainder will be shared between the park and the hospital in the ratio 2 ∶ 1 . What area of land will each of the park and the hospital get?

Q9:

180 pieces of chocolate are to be shared between 5 boys and 10 girls. Each girl’s share will be 2 5 of each boy’s share. How many pieces of chocolate will each boy and each girl get?

Q10:

Three people start a company and decide to pay Samar a fixed 790 LE management fee, then share the remaining profits in the same ratio as their investments in the company. Samar invested 1 9 of the amount that Ramy invested. Maged invested 2 5 of the amount that Ramy invested. At the end of the first year Samar gets 9 090 LE (including her management fee). How much do Maged and Ramy get paid?

Q11:

The table shows whether basketball or football was preferred by a group of students.

What is the ratio of the students who preferred football to basketball?

What is the ratio of the girls who preferred football to the boys who preferred football?

What is the ratio of boys who preferred basketball to boys who preferred football?

Q12:

Ramy and Fares share 348 coins in the ratio 1 ∶ 2 . How many coins does each of them get?

Q13:

If 6 books cost $8, use a ratio table to determine the cost of 3 books.

Q14:

Three people invested money in a project and decided to share the profits in the same ratio as their investments. The first invested 8 800 LE, the second invested 2 600 LE, and the third invested 3 600 LE. After one year the profits were shared out and the first person received 961 LE more than the second person. How much profit did the second and third persons receive?

Q15:

Milk cartons are on sale at 36 cartons for $12. Make a ratio table to find the cost of 84 cartons.

Q16:

The ratio between two integers is 2 ∶ 5 . If you subtract 33 from each, then the ratio becomes 3 ∶ 2 . What are the two integers?

Q17:

When the multiplicative inverse of a number is added to the consequent of the ratio 6 ∶ 5 , the result is the ratio 8 ∶ 7 . What is the number?

Q18:

A department store has 30 pairs of gloves on sale for $48. Determine how much 45 pairs of gloves cost.

Q19:

A bakery can make 16 batches of its signature ciabatta bread in 5 hours. Throughout the week, they spent 25 hours baking ciabatta bread and charged $9 for each batch. Make a ratio table to determine the number of batches the bakery made and the amount of money the bakery earned that week.

Q20:

A survey showed that 8 out of 23 teens prefer staying up late rather than going to bed early. Determine the number of teenagers in a class of 46 who prefer staying up late.

Q21:

A French bakery charges $3.20 for 3 baguettes. Determine how many baguettes can be bought with $9.60.

Q22:

Sally wants to enlarge one of her photos. The original size of the photo is 3 by 5 inches. Given that the enlarged photo will have a height of 10 inches, determine the width of the enlarged photo.

Q23:

Fares can cover 6.5 miles in 17 minutes riding his bicycle. Make a ratio table to determine how many miles he can cover in 85 minutes.

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