Write variable expressions word problems :
Here we are going to see some practice problems on variable expressions.
Example 1 :
Anaba has 10 more marbles than Susan. Write the variable expression to shoe the number of marbles that Anaba has.
Solution :
Let Susan have "x" marbles.
Anaba has (x + 10) marbles
Example 2 :
The length of a rectangular hall is 4 meters less than 3 times the width of the hall. What is the length, if the breadth is b meters?
Solution :
Let "x" be the width of the hall
Then,
length of the hall = 4 meters less than 3 times the width of the hall
4 meters less means we have to subtract 4,
So, length of the hall = 3x - 4
Example 3 :
A rectangular box has height h cm. Its length is 5 times the height and width is 10 cm less than the length. Express the length and the width of the box in terms of the height.
Solution :
"h" be the height of the rectangular box
length = 5 times the height ==> 5h
width = 10 cm less than the length. ==> 5h - 10
Hence length and width of the box are 5h and 5h - 10 respectively.
Example 4 :
The speed of a bus is 10 km/hour more than truck going on the same road.
Solution :
Let "x km/hour" be the speed of the truck
The speed of a bus = 10 km/hour more than truck
= 10 + x
Hence the speed of the bus is 10 + x.
Example 5 :
Price of oil per litre is 5 times the price of rice per kg.
Solution :
Let "x " be price of rice per kg
Price of oil = 5 times the price of rice per kg
= 5x
Hence the price of oil per kg is 5x.
Example 6 :
Price of wheat per kg is $5 less than the price of rice per kg.
Solution :
Let "x " be price of rice per kg
Price of wheat = $5 less than the price of rice per kg
= x - 5
Hence the price of wheat per kg is x - 5.
Example 7 :
How old will Susan be 5 years from now?
Solution :
Let "x " be present age of Susan in years
Five years from now Susan will be "x + 5" years old.
Example 8 :
How old was Susan 4 years ago?
Solution :
Let "x " be present age of Susan in years
Four years ago Susan was "x - 4" years old.
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