Word Problems: Ratios

Jack is organizing his collection of DVDs. He has 45 altogether. The ratio of comedy films to action to horror is 2 : 8 : 5. How many of each type of DVD (which is action, comedy, and horror) does he have?

• 6 comedy, 24 action, 15 horror
• 12 comedy, 15 action, 18 horror
• 8 comedy, 30 action, 7 horror
• 10 comedy, 20 action, 15 horror

Angles a, b, and c are in a ratio of 5 : 3 : 1. What are the angles?

• 120°, 90°, 30°
• 100°, 60°, 20°
• 80°, 40°, 20°
• 50°, 30°, 10°

Joseph makes fruit punch by mixing fruit juice and lemonade in the ratio 3 : 2. He needs to make 40 litres of punch for a party. How much of each ingredient does he need?

• 24 litres of fruit juice and 16 litres of lemonade
• 20 litres of fruit juice and 20 litres of lemonade
• 30 litres of fruit juice and 10 litres of lemonade
• 15 litres of fruit juice and 25 litres of lemonade

Emily is preparing a trail mix by combining nuts and dried fruits in the ratio 5 : 3. She wants to make 60 ounces of trail mix. How much of each ingredient does she need?

• 37.5 ounces of nuts and 22.5 ounces of dried fruits
• 40 ounces of nuts and 20 ounces of dried fruits
• 30 ounces of nuts and 30 ounces of dried fruits
• 45 ounces of nuts and 15 ounces of dried fruits

The ratio of a book to a book shelf is 40 : 1. If you need to sort 200 books, how many book shelf is required?

• 15
• 5
• 20
• 10

Mrs. Carter shares out 28 sweets between Alice and Bart in the ratio 1 : 6. How many candy does each child get?

• Alice gets 10 sweets, Bart gets 18 sweets
• Alice gets 5 sweets, Bart gets 23 sweets
• Alice gets 7 sweets, Bart gets 21 sweets
• Alice gets 4 sweets, Bart gets 24 sweets

Miss Penny inherits $520. She decides to save some of the money and spend the rest. The ratio to spending the money is 7 : 6. How much does she save and how much does she spend?

• She saves $364 and spends $156.
• She saves $280 and spends $240.

• She saves $100 and spends $420.
• She saves $300 and spends $220.

Tom has 24 marbles. The ratio of red marbles to blue marbles is 3 : 5. How many red marbles does he have?

• 9 red marbles

• 15 red marbles

• 12 red marbles

• 18 red marbles

Lucy has a mixture of sugar and salt in the ratio 2 : 3. If the total mixture weighs 75 grams, how much sugar is in the mixture?

• 20 grams of sugar

• 25 grams of sugar

• 30 grams of sugar

• 35 grams of sugar

John has a collection of 60 stamps. The ratio of rare stamps to common stamps is 1 : 4. How many rare stamps does he have?

• 10 rare stamps

• 12 rare stamps

• 15 rare stamps

• 20 rare stamps