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.
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
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