PRACTICE PROBLEMS ON RATIO AND PROPORTION

Problems on Ratio

Problem 1 :

Bob has 12 red cards and 20 green cards. What is the ratio of Bob's red cards to this green cards ?

Solution

Problem 2 :

In a party 10 soft drinks are required for every 12 guests. If there are 252 guests, how many soft drinks is required.

Solution

Problem 3 :

In Jack's class, 18 of the students are tall and 10 are short. In Michael's class 54 students are tall and 30 students are short. Which class has a higher ratio of tall to short students ?

Solution

Problem 4 :

The price of 3 apples at the Quick Market is $1.44. The price of 5 of the same apples at Walmart is $2.50. Which place is the better buy ?

Problem 5 :

The bakers at the Bakery can make 160 bagels in 4 hours. How many bagels can they bake in 16 hours? What is the rate per hour ?

Solution

Problem 6 :

The ratio of the boys to girls in a class is 2 : 3. If there are 18 boys in the class, how many girls  are in that class ?

Solution

Problem 7 :

The ratio of red marbles to blue marbles in the bag is 3 : 4. If there are 42 marbles in the bag, how many of the marbles are red ?

Solution

Answers :

1)   3 : 5

2)  x = 210

3)  9 : 5

4)  0.48 < 0.5

5)  x = 240

6)  27

7)  x = 6

Problems on Proportion

Problem 1 :

A car travels 120 miles in 3 hours (with a constant speed). How far will it take to travel 200 miles?

Solution

Problem 2 :

50 apples cost $25. How much would 75 apples cost?

Solution

Problem 3 :

It takes Mike18 minutes to finish reading 4 pages of a book. How long does it take for him to finish reading 30 pages?

Solution

Problem 4 :

Nathan packs 25 boxes in 2 hours. How many boxes can he pack in his 8 – hour shift?

Solution

Problem 5 :

13 candy bars weigh 26 ounces. What is the weight of 35 candy bars?

Solution

Problem 6 :

A machine can produce 6 yards of fabric in 2 minutes. How much fabric can the machine produce in 1 hour?

Solution

Problem 7 :

24 loaves of bread cost $48. How much does 10 loaves cost?

Solution

Answers :

1)  x = 5 

2)  x = 37.5

3)  x = 135

4)  x = 100

5)  x = 70

6)  180 = x

7)  x = 20

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