Worksheet: Ratios Word Problems

In this worksheet, we will practice using our understanding of ratios to solve word problems.

Q1:

The ratio between two integers is 25. If you subtract 33 from each, then the ratio becomes 32. What are the two integers?

  • A 4 and 10
  • B4 and 10
  • C6 and 15
  • D1 and 15
  • E6 and 1

Q2:

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

Q3:

When the multiplicative inverse of a number is added to the consequent of the ratio 65, the result is the ratio 87. What is the number?

Q4:

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

Q5:

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

Q6:

The ratio of the height of Michael to that of Daniel is 31 and the ratio of the height of Daniel to that of Jacob is 25. Find the ratio of the height of Michael to that of Jacob.

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

Q7:

An irrigation machine uses 1.5 liters of fuel every 3 hours. How many liters will the machine use in 5 hours?

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 21. What area of land will each of the park and the hospital get?

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

Q9:

180 pieces of chocolate are to be shared between 5 boys and 10 girls. Each girl’s share will be 25 of each boy’s share. How many pieces of chocolate will each boy and each girl get?

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

Q10:

Three people start a company and decide to pay Chloe a fixed 790 LE management fee, then share the remaining profits in the same ratio as their investments in the company. Chloe invested 19 of the amount that James invested. Benjamin invested 25 of the amount that James invested. At the end of the first year Chloe gets 9,090 LE (including her management fee). How much do Benjamin and James get paid?

  • ABenjamin gets 16,600 LE, James gets 116,200 LE
  • BBenjamin gets 29,880 LE, James gets 74,700 LE
  • CBenjamin gets 2,844 LE, James gets 7,110 LE
  • DBenjamin gets 1,580 LE, James gets 11,060 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 1 3 1 2
  • C 7 5
  • 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 1 3 5
  • B 1 2 2 5
  • C 5 1 3
  • D 2 5 1 2
  • E 7 1 2

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

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

Q12:

James and Daniel share 348 coins in the ratio 12. How many coins does each of them get?

  • AJames gets 232 coins, Daniel gets 116 coins.
  • BJames gets 348 coins, Daniel gets 174 coins.
  • CJames gets 174 coins, Daniel gets 348 coins.
  • DJames gets 116 coins, Daniel gets 232 coins.

Q13:

If 7 books cost $14, use a ratio table to determine the cost of 8 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 7,900 LE, the second invested 7,800 LE, and the third invested 7,200 LE. After one year the profits were shared out and the first person received 793 LE more than the second person. How much profit did the second and third persons receive?

  • Aprofit of the second person =8,593 LE, profit of the third person =7,993 LE
  • Bprofit of the second person =61,854 LE, profit of the third person =57,096 LE
  • Cprofit of the second person =62,647 LE, profit of the third person =57,096 LE
  • Dprofit of the second person =61,854 LE, profit of the third person =62,647 LE
  • Eprofit of the second person =8,693 LE, profit of the third person =8,593 LE

Q15:

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

Q16:

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

Q17:

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.

Q18:

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

Q19:

Charlotte 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.

Q20:

Daniel 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.

Q21:

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

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

Q22:

The ratio of the number of cups of diced tomatoes to the number of cups of diced cucumbers for a salad recipe is 97. If a salad recipe called for 37 of a cup of diced tomatoes, determine how many cups of diced cucumbers are needed.

  • A 7 6 cups
  • B 1 3 cups
  • C 1 2 7 cups
  • D3 cups
  • E 6 7 cups

Q23:

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.

  • A64 batches of ciabatta bread, $73
  • B80 batches of ciabatta bread, $720
  • C64 batches of ciabatta bread, $576
  • D80 batches of ciabatta bread, $89

Q24:

The ratio among the measure of the angles of a triangle is 161019. Find the measure of the greatest angle of this triangle.

  • A 7 6
  • B 4 0
  • C 6 4
  • D 1 1 0

Q25:

A school has 588 LE to spend on decorations. The money will be divided between classes 𝐴, 𝐵 and 𝐶 in the ratio 246. How much money does each class get to spend on decorations?

  • A 𝐴 = 9 8 L E , 𝐵 = 1 9 6 L E , 𝐶 = 2 9 4 L E
  • B 𝐴 = 2 9 4 L E , 𝐵 = 1 4 7 L E , 𝐶 = 9 8 L E
  • C 𝐴 = 1 9 6 L E , 𝐵 = 9 8 L E , 𝐶 = 2 9 4 L E
  • D 𝐴 = 2 9 4 L E , 𝐵 = 1 9 6 L E , 𝐶 = 9 8 L E

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