Mathematics
Grade-8
Easy

Question

In a Halloween, if each house visited gives you 5 chocolates, initially you started with 10 chocolates by the end you have 150 chocolates, then the number of houses visited are

  1. 14
  2. 24
  3. 18
  4. 28

hintHint:

An equation has a constant, variable and an equal to sign. It has two sides LHS and RHS. A linear equation in one variable is equation with only one variable and in which the highest degree is 1. 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: 28


In the question it is given that each house visited gives you 5 chocolates, initially you started with 10 chocolates by the end you have 150 chocolates.
Here, we have to find the number of houses visited.
Step 1: Convert the word problem into a numerical equation.
Let the number of houses visited be x.
5x+10= 150
Bring all the terms containing variables in one side by operating same numbers on both sides to balance the equation.
Step 2: Subtract both sides with 10.
rightwards double arrow5x+10-10= 150-10
rightwards double arrow5x=140
Step 3: Divide both sides with 5.
rightwards double arrow fraction numerator 5 x over denominator 5 end fraction equals 140 over 5
rightwards double arrow x equals 28
So, the number of houses visited are 28.
Therefore, the correct option is d,i.e, 28.

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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