Solved Examples and Worksheet for Using Operations to Solve Problems Involving Volume and Mass

Q1Two boxes weigh 2.4 lbs and 6.7 lbs each. What is the difference between their weights?

A. 2.5 lbs
B. 4.4 lbs
C. 4.3 lbs
D. 2.7 lbs

Solutions
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Step: 1
Difference between the weights of two boxes = 6.7 - 2.4.
  [Write an expression.]
Step: 2
6.7  [Align the decimal points.]
- 2.4  
  4.3  [Subtract.]
Step: 3
So, the difference between the weights of the boxes is 4.3 lbs.
Correct Answer is :   4.3 lbs
Q2A storeowner had 870.18 grams of sugar. He sold 457.10 grams. How many grams of sugar is he left with?

A. 415.08
B. 416.08
C. 414.08
D. 413.08

Solutions
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Step: 1
The total amount of sugar that storeowner had is 870.18 gm.
Step: 2
He sold 457.10 gm.
Step: 3
The amount of sugar left with him = total amount of sugar - amount of sugar he sold
= 870.18 - 457.10
  
Step: 4
870.18  [Align the decimal points.]
- 457.10  
  413.08  [Subtract.]
Step: 5
The amount of sugar left with storeowner is 413.08 grams.
Correct Answer is :   413.08
Q3Zelma's bag weighs 4542.2 grams and Lindsay's bag weighs 1799.5 grams. What is the total weight of both their bags?
A. 6341.7 grams
B. 6354.2 grams
C. 6348.7 grams
D. 6334.7 grams

Solutions
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Step: 1
Total weight of both the bags = weight of Zelma's bag + weight of Lindsay's bag
Step: 2
= 4542.2 + 1799.5
  [Substitute the values.]
Step: 3


4542.2
+ 1799.5
...........
6341.7
...........
  
[Line up the decimal points.]



[Add.]
Step: 4
Total weight of both the bags is 6341.7 grams.
Correct Answer is :   6341.7 grams
Q4Arthur filled 26.5 gal of gasoline in his truck. After a long drive, he still had 6.3 gal of gasoline left in the truck. How much gasoline did the truck use?
A. 23.7 gal
B. 20.2 gal
C. 23.2 gal
D. 17.2 gal

Solutions
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Step: 1
Gasoline consumed = total gasoline - gasoline left after the drive
Step: 2
= 26.5 - 6.3
  [Substitute the values.]
Step: 3


26.5
- 6.3
.........
20.2
.........
  
[Line up the decimal points.]



[Subtract.]
Step: 4
So, 20.2 gal of gasoline was consumed during the long drive.
Correct Answer is :   20.2 gal
Q5There are 967.5 lbs of rice in a warehouse. 396.1 lbs of rice were sent to grocery stores. How many pounds of rice were left in the warehouse?
A. 571.4 lbs
B. 576.4 lbs
C. 575.4 lbs
D. 566.4 lbs

Solutions
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Step: 1
The quantity of rice that is left in the granary = Total quantity of rice - Quantity of rice sent to the dealers
Step: 2
= 967.5 - 396.1
  [Substitute.]
Step: 3


967.5
- 396.1
............
571.4
............
  

[Align decimal points.]

[Subtract.]
Step: 4
So, 571.4 lbs of rice are left in the granary.
Correct Answer is :   571.4 lbs
Q6Joe buys 7 kg of apples and gives 2 kg to Tony. Who has more apples now?

A. Joe
B. Not enough information given
C. Tony
D. Both have equal quantities

Solutions
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Step: 1
The quantity of apples Joe bought is 7 kg.
Step: 2
The quantity of apples Joe gave Tony is 2 kg.
Step: 3
The quantity of apples left with Joe = the quantity of apples he bought - the quantity of apples he gave to Tony.
Step: 4
= 7 kg - 2 kg
  [Substitute the values.]
Step: 5
= 5 kg
  [Subtract]
Step: 6
5 kg > 2 kg
  [Compare the quantities.]
Step: 7
The quantity of apples left with Joe > the quantity of apples with Tony.
Step: 8
Among the two, Joe has greater quantity of apples.
Correct Answer is :   Joe
Q7Mr. William′s family moved from London to the USA. They carried 3 suitcases each weighing 70 lb. How much did their luggage weigh altogether?
A. 220 lb
B. 240 lb
C. 210 lb
D. 73 lb

Solutions
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Step: 1
The weight of the total luggage of Mr. William's family = the number of suitcases × the weight of each suitcase.
Step: 2
= 3 × 70
  [Substitute the values.]
Step: 3
= 3 × 7 × 10
  [7 × 10 = 70]
Step: 4
= 21 × 10 = 210
  
Step: 5
The luggage weighed 210 lb altogether.
Correct Answer is :   210 lb
Q8A water tank contains 6300.60 liters of water. 3540.25 more liters of water was added into it. Find the total quantity of water in the tank.
A. 9838.35 liters
B. 9842.35 liters
C. 9840.85 liters
D. 9835.35 liters

Solutions
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Step: 1
The quantity of water in the tank = original quantity of water + added water.
Step: 2
= 6300.60 + 3540.25
  [Substitute the values.]
Step: 3
  
     6300.60
     3540.25
     ...............
     9840.85
     ...............
  [Align the decimal points.]
Step: 4
So, the quantity of water in the tank is 9840.85 liters.
Correct Answer is :   9840.85 liters
Q9Charles weighs 131.85 lbs and William weighs 123.56 lbs. Find the difference between their weights.
A. 8.59 lbs
B. 8.29 lbs
C. 7.66 lbs
D. 7.99 lbs

Solutions
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Step: 1
The difference between their weights = weight of Charles - weight of William
Step: 2
= 131.85 lb - 123.56 lb
  [Substitute the values.]
Step: 3
131.85  [Align the decimal points.]
- 123.56
8.29  [Subtract.]
Step: 4
So the difference between their weights is 8.29 lbs.
Correct Answer is :   8.29 lbs
Q10The weight of two rings is 75.63 mg and 53.34 mg. Find the difference between their weight.
A. 22.59 gm
B. 22.89 gm
C. 22.29 gm
D. 21.99 gm

Solutions
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Step: 1
The weight of the two rings is 75.63 gm and 53.34 gm.
Step: 2
The difference between their weight = 75.63 - 53.34.
  [Substitute the values.]
Step: 3
75.63  [Align the decimal points.]
- 53.34  
  22.29  [Subtract.]
Step: 4
So, the difference between their weight is 22.29 gm.
Correct Answer is :   22.29 gm
Q11A fire truck holds 346.53 liters of water from which 202.34 liters of water was on a fire. Find the quantity of water left in the truck.

A. 144.39 liters
B. 144.19 liters
C. 143.49 liters
D. 144.89 liters

Solutions
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Step: 1
The quantity of water left in the truck = the quantity of water contained in the truck - the quantity of water used
Step: 2
= 346.53 - 202.34
  [Substitute the values.]
Step: 3
346.53  [Align the decimal points.]
- 202.34  
  144.19  [Subtract.]
Step: 4
So, the quantity of water left in the truck is 144.19 liters.
Correct Answer is :   144.19 liters
Q12Danielle bought 47 of a cup of milk to make ice cream. She only used 17 of a cup of milk. How much milk was left?

A. 37
B. 47
C. 17
D. 34

Solutions
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Step: 1
Milk left = Milk Danielle bought - Milk she used = 47 - 17
Step: 2
= (4 - 1)7 = 37
  [Subtract the numerators and write the same denominator.]
Step: 3
So, 37 cup of milk is left.
Correct Answer is :   37
Q13Quincy bought 35 cup of milk for making an ice cream. She used 15 cup of milk to make one recipe and another 15 cup for another recipe. How much milk did she use in all?

A. 15 cup
B. 25 cup
C. 35 cup
D. 45 cup

Solutions
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Step: 1
Total milk used = Milk used for making one recipe + Milk used for making another recipe = 15 + 15
  [Substitute the fractions.]
Step: 2
= (1 + 1)5 = 25
  [As the denominators of the fractions are equal, just add the numerators 1 and 1.]
Step: 3
So, Quincy used 25 cup of milk.
Correct Answer is :   25 cup
Q14George bought 17 liters of orange juice from a shop and used 7 liters of it. How many liters of orange juice is he left with?

A. 27 liters
B. 10 liters
C. 152 liters
D. 1 liter

Solutions
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Step: 1
Number of liters of orange juice left = Number of liters of orange juice bought - Number of liters of orange juice used
Step: 2
= 17 - 7 = 10
  [Substitute the values.]
Step: 3
So, George is left with 10 liters of orange juice.
Correct Answer is :   10 liters
Q15John has 33 liters of oil in his shop. He sells 11 liters of it. How many liters of oil is left in the shop?

A. 11 liters
B. 22 liters
C. 30 liters
D. 12 liters

Solutions
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Step: 1
Number of liters of oil left = Number of liters of oil - Number of liters of oil sold
Step: 2
= 33 - 11 = 22
Step: 3
So, 22 liters of oil is left in the shop.
Correct Answer is :   22 liters

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