# 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.

Weight of the mixture :

= 2.75 + 3.46

= 6.21 grams

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.

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.

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.

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

Amount of money that Jack has yet save :

= 450.75 - 256.46

= \$194.29

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

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

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

x - 18.75 + 18.75 = 2.46 + 18.75

x = 21.21

The number is 21.21.

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

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.

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

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