DECIMAL WORD PROBLEMS

Problem 1 :

A chemist mixed 6.35 grams of one compound with 2.45 grams of another compound. How many grams were there in the mixture. 

Solution : 

Amount of compound in the mixture is 

=  6.35 + 2.45

=  8.8 grams

Problem 2 :

If the cost of a pen is $10.50, a book is $25.75 and a bag is $45.50, the  find the total cost of 2 books, 3 pens and 1 bag. 

Solution :

Total cost of 2 books, 3 pens and 1 bag is 

=  2(25.75) + 3(10.50) + 1(25.75)

=  51.50 + 31.50 + 25.75

=  $108.75

Problem 3 :

John wants to buy a bicycle that cost $ 450.75. He has saved $ 125.35. How much more money must John save in order to have enough money to buy the bicycle ?

Solution :

Amount of money that John still has to save is

=  450.75 - 125.35

=  $325.40

Problem 4 :

Jennifer bought 6.5 kg of sugar. she used 3750 grams. How many kilograms of sugar were left ?

Solution :

3750 grams  =  3750/1000 kg

3750 grams  =  3.75 grams

Amount of sugar left (in kilograms) is 

=  6.5 - 3.75

2.75 kg

Problem 5 :

The inner radius of a pipe is 12.625 mm and the outer radius is 18.025 mm. Find the thickness of the pipe.

Solution :

Thickness of the pipe is 

=  Outer radius - Inner radius

=  18.025 - 12.625

=  5.40 mm

Problem 6 :

A copy of English book weighs 0.45 kg. What is the weight of 20 copies ? 

Solution :

Weight of 20 copies of English book is 

=  20 ⋅ 0.45

=  9 kg

Problem 7 :

Find the weight of 25.5 meters of copper wire in kilograms, if one meter weighs 10 grams.

Solution :

Weight of 25.5 meters of copper wire is 

=  25.5 ⋅ 10

=  255 grams

=  255/1000 kilograms

=  0.255 kilograms

Problem 8 :

Robert paid $140 for 2.8 kg of cooking oil. How much did 1 kg of the cooking oil cost ?

Solution :

The cost of 1 kg of cooking oil is 

=  140 / 2.8

=  $50

Problem 9 :

If $20.70 is earned in 6 hours, how much money will be earned in 5 hours ?

Solution :

Amount of money earned in 1 hour is

=  20.70 / 6

=  3.45

Amount of money earned in 5 hours is

=  5 ⋅ 3.45

 =  $17.25

Problem 10 :

A pipe is 76.8 meters long. What will the greatest number of pieces of pipe each 8 meters long that can be cut from this pipe ?

Solution :

Greatest number of pieces can be cut from the pipe is 

=  76.8 / 8

=  9.6

So, 9 pieces of pipe each 8 meters long can be cut from the pipe of length 76.8 meters. 

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