WORKSHEET ON DECIMAL WORD PROBLEMS

Problem 1 :

In a chemical laboratory, 2.75 grams of one compound is mixed with 3.46 grams of another compound. Find the weight of the mixture.

Problem 2 :

If the price of a pencil is $0.75, how much has to be paid for 10 pencils?

Problem 3 :

A train travels a distance of 756.9 miles in 10 hours. Find the speed of the train in miles per hour.

Problem 4 :

If a cookie weighs 10.654 grams, find the weight of 100 cookies.

Problem 5 :

In a store, the price of a pencil is $1.25, a pen is $2.45 and that of a book is $12.50. If Mr. James buys 4 books, 3 pencils and 4 pens, how much does he have to pay?

Problem 6 :

Jack has planned to purchase a camera which costs $450.75 and saved $256.46 so far. How much more money does Jack have yet to save to purchase the camera?

Problem 7 :

Jessica had  1.25 kilograms of sugar and she used 650 grams of sugar for making cookies. Find the amount of sugar Jessica has left.

Problem 8 :

A store sells all the items with 10% profit. If an item is bought for $15 by the store, at what price the item has to be sold?

Problem 9 :

18.75 is being taken away from a number results 2.46. Find the number.

Problem 10 :

Multiplying 18.75K4 by 100 results 1875.94. Find the value of K.

Problem 11 :

In a food competition, Kevin was able to drink 750 ml of apple juice in 1 minute 15 seconds. Find the amount of juice that Kevin can drink in 10 seconds.

Problem 12 :

Dividing 2Y8.5 by 10 results 20.85. Find the value of Y.

Answers

1. Answer :

Weight of the mixture :

= 2.75 + 3.46

= 6.21 grams

2. Answer :

To find amount has to be paid for 10 pencils, multiply the price of one pencil by 10.

= 10 x 0.75

Since 0.75 is multiplied by 10, the decimal point in 0.75 has to be shifted to the right by one digit.

= 7.5

Therefore, $7.50 has to be paid for 10 pencils.

3. Answer :

Formula to find speed :

Speed = Distance/Time

= 756.9/10

Since 756.9 is divided by 10, the decimal point has to be shifted one digit to the left.

= 75.69

Speed of the train is 75.69 miles per hour.

4. Answer :

To find the weight of 100 cookies, multiply the weight of one cookie by 100.

= 100 x 10.654

Since 10.654 is multiplied by 100, the decimal point in 10.654 has to be shifted to the right by two digits.

= 1065.4

Therefore, the weight of 100 cookies is 1065.4 grams.

5. Answer :

Amount of money that Mr. James has to pay :

= 4(12.50) + 3(1.25) + 4(2.45)

= 50 + 3.75 + 9.80

= $63.55

6. Answer :

Amount of money that Jack has yet save :

= 450.75 - 256.46

= $194.29

7. Answer :

Amount of sugar that Jessica has left :

= 1.25 kilograms - 650 grams

Two quantities are in different units, kilograms and grams. Multiply 1.25 kilograms by 1000 to convert it to grams.

= (1.25 x 1000) grams - 650 grams

Since 1.25 is multiplied by 1000, the decimal point has to shifted to the right by three digits.

= 1250 grams - 650 grams

= 600 grams

8. Answer :

Since the store sells all the items with 10% profit, the item bought for $15 also has to be sold with 10% profit.

The price of the item :

= (100 + 10)% of 15

= 110% of 15

= (110/100) x 15

= 1.1 x 15

= $16.5

9. Answer :

Let x be the number.

Since 18.75 is taken away from x, 18.75 has to be subtracted from x, the answer is 2.46

x - 18.75 = 2.46

Add 18.75 to both sides.

x - 18.75 + 18.75 = 2.46 + 18.75

x = 21.21

The number is 21.21.

10. Answer :

Since 18.75K4 is multiplied by 100, the decimal point in 18.75K4 has to be shifted to the right by two digits.

18.75K4 x 100 = 1875.K4 ----(1)

Given : Multiplying 18.75K4 by 100 results 1875.94.

18.75K4 x 100 = 1875.94 ----(2)

Comparing (1) and (2),

1875.K4 = 1875.94

Since the above two decimal numbers are equal, the digits at tenths places also must be equal.

Therefore,

K = 9

11. Answer :

1 minute 15 seconds = (1 x 60) seconds + 15 seconds

= 60 seconds + 15 seconds

= 75 seconds

Given : Kevin was able to drink 750 ml of apple juice in 1 minute 15 seconds.

1 minute 15 seconds ----> 750 ml

75 seconds ----> 750 ml

1 second ----> (750/75) ml

1 second ----> 10 ml

10 x 1 seconds ----> 10 x 10 ml

10 seconds ----> 100 ml

Kevin can drink 100 ml of apple juice in 10 seconds.

12. Answer :

Since 2Y8.5 is divided by 10, the decimal point in 2Y8.5 has to be shifted to the left by one digit.

2Y8.5 ÷ 10 = 2Y.85 ----(1)

Given : Dividing 2Y8.5 by 10 results 20.85

2Y8.5 ÷ 10 = 20.85 ----(2)

Comparing (1) and (2),

2Y.85 = 20.85

Since the above two decimal numbers are equal, the digits at ones places also must be equal.

Therefore,

Y = 0

Practice Questions

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