# Simplification

Simplification:

Simplification is to make simpler. One of the big jobs we do in Algebra is "simplification". You will often get asked to express something "in simplest form".

Example: x+4x = 50.

The above statement can be written as:

x+4x=50;5x=50;x=10.

This is simplifying the equation.

1

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

2

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

3
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
4

If a - b = 3 and a2 + b2 = 29, find the value of ab.

5

The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?