Decimal word problems

Quantity of one compound = 6.35 grams
Quantity of another compound = 2.45 grams
Total quantity of mixture = Quantity of one compound + quantity of another compound

                             = 6.35 + 2.45
                             = 8.8 grams

Step 1:
In this problem a chemist is mixing 6.35 grams of one compound with 2.45 grams of another compound.
Step 2:
From this we need to find number of grams were there in the mixture.
Step 3:
To solve this problem we have to add both the measurements of two compounds.

Cost of pen = $10.50
Cost of books = $25.75
Cost of bag = $ 45.50
Total cost = Cost of pen + Cost of books + Cost of bag
                              = $10.50 + $25.75 + $ 45.50
                              = $ 81.75

Step 1:
In this problem we have cost of three items.And we need to find the total cost of these items.
Step 2:
To solve this problem we have to apply the concept addition.
Step 3:
We have to add all the three cost to get the total cost.

Cost of a bicycle = $ 450.75
Money that he saved = $ 125.35
Difference of money = cost of bicycle - money that he saved
                              = $ 450.75 - $ 125.35
                                                           450.75
                                                           125.35
                                                           --------
                                                           325.40
                                                           --------
                             = $ 325.40
Therefore $ 325.40 money must John save in order to have enough money to buy the bicycle

Step 1:
In this problem John wants to buy a bicycle which costs $ 450.75 and he saved $ 125.35.
Step 2:
Now we need to find how much money must John save in order to have enough money to buy the bicycle.
Step 3:
To solve this problem we have to use the concept subtraction.
Step 4:
To find the difference we have to subtract 125.35 from 450.75.

Quantity of sugar that Jennifer had = 6.5 kg
Quantity of sugar that Jennifer used = 3.75 kg
Remaining quantity of sugar = Original quantity of sugar - used sugar
                             = 6.5 - 3.75
                                                           6.50
                                                           3.75
                                                           --------
                                                           2.75
                                                           --------
Therefore the remaining quantity of sugar = 2.75 kg

Step 1:
In this problem Jennifer is buying 6.5 kg of sugar and she has used 3.75 kg of sugar.
Step 2:
Now we have to find how much of sugar does Jennifer has
Step 3:
To solve this problem we have to use the concept subtraction.
Step 4:
To find the remaining quantity we have to subtract the used quantity of sugar from the original quantity of sugar.

The inner diameter of a pipe = 25.25 mm
The outer diameter of the pipe = 36.05 mm
Difference in the diameter = Outer diameter - inner diameter
                             = 36.05 -25.25
                             = 10.80 mm
Therefore difference in diameter = 10.80 mm

Step 1:
In this problem We have two diameters inner diameter and outer diameter.
Step 2:
Probably the outer diameter will be more than the inner diameter.
Step 3:
Now we need to find the difference in diameters.
Step 4:
To solve this problem we have to apply the concept subtraction.We need to subtract outer diameter from inner diameter.

Length of the map = 1.3 m
Width of the map = 0.8 m
Area of the map = Length x width
                              = 1.3 x 0.8
                              = 1.04 square meter
Therefore area of the map is 1.04 square meter.

Step 1:
In this problem a map is having the measurements 1.3 m as length and 0.8 m as width.
Step 2:
Now we have to find the area. For that we have to use the formal for rectangle.
Step 3:
Here length (L) is 1.3 m and width (w) is 0.8 m and the the formula to find area of the triangle is l x w.

Weight of English book = 0.45 kg The weight of 20 copies = Weight of one book x 20                              = 0.45 x 20
                              = 9 kg
Therefore the weight of 20 books is 9 kg

Step 1:
In this problem we have the weight of one English book and we need to find the weight of 20 copies like this.
Step 2:
To solve this problem we have to use the concept multiplication.
Step 3:
We have to multiply the weight of one book with 20 to get weight of 20 books.

Weight of 1 meter copper wire = 10.5 grams
The weight of 25.5 meters = 25.5 x 10.5
                             = 267.75 grams
So the weight of 25.5 meter copper wire is 267.75 grams.

Step 1:
In this problem we have a copper wire having the length 25.5 meters.
Step 2:
If the weigh of one meter is 10.5 grams then we have to find the weight of 25.5 meter.
Step 3:
To solve this problem we have to use the concept multiplication.
Step 4:
For that we have to multiply 25.5 with 10.5.

Time taken by Mars to travel around the Sun = 1.88 years
Time taken by Mars to travel around the Sun 100 times = 1.88 x 100
                                                            = 188 years

Step 1:
In this problem Mars is taking 1.88 years to travel around the sun.
Step 2:
Now we need to find how long will mars take to go around the sun 100 times.
Step 3:
To solve this problem we have to use the concept multiplication.
Step 4:
We have to multiply the time taken by mars to travel around the sun by 100.

Side length of the square = 12.25 m
Perimeter of the square = 4a
Here a = 12.25 m
                              = 4 (12.25)
                              = 49 m
Therefore the perimeter of the square is 49 m.

Step 1:
In this problem we know the length of one side of the shape square and we need to find the perimeter of square.
Step 2:
To solve this problem we have to apply the formula to find the perimeter of the square that is 4a.
Step 3:
Here a represents side length of the square.

The weight of 1 ream of paper = 2.05 kg
Weight of 35 reams = Weight of one ream x 35
                              = 2.05 x 35
                              = 71.5 kg
Weight of 35 reams = 71.5 kg

Step 1:
In this problem a ream of paper weighs 2.05 kg.
Step 2:
Now we need to find the cost of 35 reams.
Step 3:
To solve this problem we have to use the concept multiplication.
Step 4:
We have to multiply 2.05 with 35 to get the final answer.

Cost of 2.8 kg of cooking oil = $ 140
Cost of 1 kg of cooking oil = 140 ÷ 2.8
                              = (140/2.8) x (10/10)
                              = 1400/28
                              = $ 50
Therefore the cost of 1 kg = $50

Step 1:
In this problem Robert paid $140 for 2.8 kg of cooking oil.
Step 2:
We need to find that how much did 1 kg of the cooking oil cost.
Step 3:
.To solve this problem we have to use the concept division.
Step 4:
We divide cost $ 140 by 2.8.So that we will get the answer for cost of 1 kg.

Money earned for working 6 hours = $ 20.70
Money earned for working an hour = $ 20.70 ÷ 6
                              = (20.70/6) x (100/100)                               = 2070/600                              = $ 3.45 He will be paid $ 3.45 per hour.

Step 1:
In this problem Joseph had earned $20.70 for working 6 hours.
Step 2:
We need to find how much he will be paid for an hour.
Step 3:
To solve this problem we have to use the concept division.
Step 4:
We have to divide cost for working 6 hours divided by 6.

Number of miles hiked by John in 3 hours = 9.6 miles
Number of miles hiked by John in an hour = 9.6 ÷ 3
                              = (9.6/3) x (10/10)
                              = 96/30
                              = 16/5
                              = 3.2 miles

Step 1:
In this problem John hiked 9.6 miles in 3 hours.
Step 2:
Now we need to find how many miles an hour he will hike.
Step 3:
.To solve this problem we have to divide 9.6 miles by 3 hours.

Original amount to be divided to four people = $ 58.56
Provided amount for 1 person = 58.56 ÷ 4
                             = (58.56/4) x (100/100)
                             = 5856/400
                             = $ 14.64

Step 1:
In this problem, we have to divide $ 58.53 equally among 4 people.
Step 2:
To solve this problem we have to use the concept division.
Step 3:
We have to divide 58.53 by 4.

The original measurement of the wire = 0.12 meters
No of of pieces to be cut = 3
length of each piece = 0.12 ÷ 3
                              = (0.12/3) x (100/100)
                              = 12/300
                             = 0.04 meter
Therefore the length of each piece is 0.04 meter.

Step 1:
In this problem a wire is having the length 0.12 meter.
Step 2:
In this problem a wire is having the length 0.12 meter.
Step 3:
From this we have to find the length of each piece.
Step 4:
For that we have to use the division concept.

The original length of the pipe = 76.8 meters
The length of each pipe piece = 8 meter
No of pieces which had been cut = 76.8 ÷ 8
                              = (76.8/8) x (10/10)
                              = 768/80
                              = 9.6
So we will get 9 pieces.

Step 1:
In this problem a pipe is measuring 76.8 meter long and this pipe is going to cut into 8 meter long
Step 2:
Now we need to find how many pieces we will get.
Step 3:
To solve this problem we have to divide 76.8 by the length of one piece.