Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Ratios Word Problems

Sample Question Videos

Worksheet • 23 Questions • 1 Video

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.

  • A30
  • B60
  • C15
  • D4
  • E2

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?

Ingredient Flour Sugar Butter Milk
Cups 3 6 2

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.

  • A 6 5
  • B 1 2
  • C 5 6
  • D 1 5 2
  • E 3 5

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.

  • A 1 3 :
  • B 7 2 2 4 :
  • C 1 2 :
  • D 5 2 1 0 8 :

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.

  • A 1 3 c
  • B 1 2 7 c
  • C 3 c
  • D 7 6 c
  • E 6 7 c

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?

  • Apark: 48 acres, hospital: 24 acres
  • Bpark: 72 acres, hospital: 24 acres
  • Cpark: 24 acres, hospital: 48 acres
  • Dpark: 26 acres, hospital: 26 acres
  • Epark: 52 acres, hospital: 26 acres

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?

  • ABoys get 20 pieces each, girls get 8 pieces each.
  • BBoys get 20 pieces each, girls get 40 pieces each.
  • CBoys get 15 pieces each, girls get 6 pieces each.
  • DBoys get 15 pieces each, girls get 30 pieces each.

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?

  • AMaged gets 29 880 LE, Ramy gets 74 700 LE
  • BMaged gets 2 844 LE, Ramy gets 7 110 LE
  • CMaged gets 1 580 LE, Ramy gets 11 060 LE
  • DMaged gets 16 600 LE, Ramy gets 116 200 LE

Q11:

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

Football Basketball
Boys 13 12
Girls 5 7

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

  • A 1 8 1 9
  • B 7 5
  • C 1 3 1 2
  • D 5 7
  • E 1 9 1 8

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

  • A 5 1 3
  • B 7 1 2
  • C 1 3 5
  • D 2 5 1 2
  • E 1 2 2 5

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

  • A 1 2 1 3
  • B 7 1 3
  • C 1 3 1 2
  • D 7 5
  • E 5 7

Q12:

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

  • ARamy gets 116 coins, Fares gets 232 coins.
  • BRamy gets 232 coins, Fares gets 116 coins.
  • CRamy gets 174 coins, Fares gets 348 coins.
  • DRamy gets 348 coins, Fares gets 174 coins.

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?

  • A profit of the second person = 403 LE, profit of the third person = 558 LE
  • B profit of the second person = 3 561 LE, profit of the third person = 4 561 LE
  • C profit of the second person = 403 LE, profit of the third person = 1 364 LE
  • D profit of the second person = 9 761 LE, profit of the third person = 3 561 LE
  • E profit of the second person = 1 364 LE, profit of the third person = 558 LE

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?

  • A 6 and 15
  • B 4 and 1 0
  • C 6 and 1
  • D 4 and 10
  • E 1 and 15

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.

  • A80 batches of ciabatta bread, $720
  • B64 batches of ciabatta bread, $576
  • C64 batches of ciabatta bread, $73
  • D80 batches of ciabatta bread, $89

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.

Preview