Practice Examples 1, Practice Examples 2
Word Problems or Algebraic Applications are same.
Here we convert the problems given in words into the expressions with the help of variables.
Ex.1
7 is added to 5 times a variable –
Answer –
If the variable is ‘y’ then 5 times a variable = 5y
7 added to 5y will be written as 7 + 5y.
Ex.2
In a cocktail is mix a of 200 ml there is 20 % water, 30 % rose syrup and remaining of orange juice. Find out quantity of orange juice ?
Answer –
In 200 ml 20% + 30 % = 50 % is water and rose syrup so remaining 50 % is orange juice only , If we take ‘m’ as cocktail mix which is = 200 ml
then 50 % of ‘x’ = 0.5 m
= 0.5 x 200 = 100
The orange juice will be 100 ml.
Ex.3 –
The length of a rectangular shelf is 2 times of its breadth. If there is standard sheet of wood of 16 ft. x 16 ft. is available and 8 equal sizes of rectangular shelves can be cut from it then what is length and breadth of each shelf?
Answer
Let breadth is ‘a’; then length = 2 x a
Area of standard sheet = 16 x 16 = 256
Area of rectangular Shelf = a x 2a = 2a2
Number of rectangular Shelf from standard sheet of wood = 256/2a2
8 = 256/2a2
2a2 = 256/8
a2 = 16
a = 4
So, breadth of rectangular shelf = 4 and
Length of rectangular shelf = 2 x a = 2 x 4 = 8
The Length of shelf= 8 and breadth of shelf will be 4.
Ex.4
If a shopkeeper sells the mobile phone for $ 90 and get 18% profit. Find out the price the shopkeeper has paid to the manufacturer for the mobile phone?
Answer;
Suppose if the basic cost of mobile phone is ‘m’,
The shopkeeper makes a profit of 18% i.e. 0.18 m
Then equation will be;
m + 0.18m = 90
1.18 m =90
m = 90 / 1.18
m = 76.27
The shopkeeper has paid $ 76.27 to the manufacturer.
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