Mathematics
Grade-8
Easy

Question

Mary bought some apples from the store, she gave half of the apples she bought to Adam, the 5 from the remaining to his brother. The apples she left with are 3. The number of apples she gave to Adam are

  1. 3
  2. 5
  3. 8
  4. 16

hintHint:

An equation contains constants, variables and an equal sign. It has two sides called LHS and RHS. An linear equation in one variable is an equation in which there is one variable and the degree is one. In this question the equation is in the form of words which we have to convert to numerical form and solve it by performing some operations on both sides of the equation. Here, we have to find the value of unknown value, by operating both sides with the same number so that the equation will be balanced.

The correct answer is: 8


In the given question it is given that Mary gave half of the apples she bought to Adam, the 5 from the remaining to his brother. The apples she left with are 3.
Here, we have to find the number of apples Mary gave to Adam.
Step 1: Convert the word problem into numerical equation.
Let the number of apples Mary bought be x.
x over 2 minus 5 equals 3
Bring all the terms containing variables in one side by operating same numbers on both sides to balance the equation.
Step 2: Add 5 in both sides.
rightwards double arrow x over 2 minus 5 plus 5 equals 3 plus 5
rightwards double arrow x over 2 equals 3 plus 5
rightwards double arrow x over 2 equals 8
Step 3: Multiply both sides with 2.
rightwards double arrow x over 2 cross times 2 equals 8 cross times 2
rightwards double arrow x equals 16 space space space space space space space space space space space space space space............... left parenthesis 1 right parenthesis
Step 4: Find the number of apples Mary gave to Adam.
Number of apples Mary gave to Adam= x over 2 space space space space space space space space space space space space space space space space space space space.................. left parenthesis 2 right parenthesis
Putting the value of x from eq. 1 in eq. 2, we get 
x over 2 equals 16 over 2 equals 8
So, the number of apples Mary to Adam is 8.
Therefore the correct option is c,i.e., 8.

Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.

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