We have learned how to add, subtract, multiply and divide integers. This section will review the rules learned for operations with integers.

**Statement
Problems on Integers using all Fundamental Operations.**

We have learned how to add, subtract, multiply
and divide integers. This section will review the rules learned for operations
with integers.

All the mathematical problems are life oriented
problems.

**Situation 1**

If a person’s initial balance is ₹
530 in a particular month. In the same month if he deposits ₹
230 withdraws ₹ 150, again a withdrawal of ₹ 200 and a deposit of ₹
99.

How will you find the answer for this?

**Situation 2**

If a person buys 8 pens for 80 rupees and he
sells 4pens with a profit of ₹ 3 per pen and 3 pens with a loss of ₹ 2
per pen and one pen at the buying cost, find the total loss or profit of him.

Do you have any idea to approach this problem?

To solve all the statement problem, the
following steps may be followed.

(i) Read the
problem thoroughly.

(ii) Write down
what is given.

(iii) Find out what
they are asking.

(iv) Use the
required formulae or easy way to attain the answer.

(v) Apply it.

(vi) Solve it.

(vii) Arrive the
answer.

(viii) If possible
check your answer.

Let us approach the above two situations as
given below:

** **

__Example 1.28__

Ferozkhan collects ₹1150
at the rate of ₹ 25 per head from his classmates on account of
the 'Flag Day' in his school and returns ₹ 8 to each one of them, as instructed by his
teacher. Find the amount handed over by him to his teacher.

*Solution*

Ferozkhan collects ₹1150
at the rate of ₹ 25 per head from his classmates on account of
the 'Flag Day'

Total amount collected = ₹1150

Amount per head = ₹ 25

Number of students = 1150 ÷ 25 = 46

Amount returned to each student is ₹ 8

Amount returned to 46 students = 46 × 8 = ₹ 368

Amount handed over to the class teacher

= ₹ 1150

₹ 368
(–)

_____

₹ 782

_____

Amount handed over to the class teacher = ₹ 782

** **

__Example 1.29__

Each day, the workers drill down 22 feet
further until they hit a pool of water. If the water is at 110 feet, on which
day will they hit the pool of water?

*Solution*

Depth drilled in one day = –22 feet

Depth of water = –110 feet

Number of days required = –110 ÷ –22 = 5

Hence the workers wil reach resource in 5 days.

** **

__Example 1.30__

How many years are between 323 BC(BCE) and 1687
AD(CE)?

*Solution*

Years in AD(CE) are taken as positive integers and BC(BCE) as negative
integers.

Therefore, the difference is

= 1687 – (–323)

= 1687 + 323 = 2010 years

Tags : Number System | Term 1 Chapter 1 | 7th Maths , 7th Maths : Term 1 Unit 1 : Number System

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7th Maths : Term 1 Unit 1 : Number System : Statement Problems on Integers using all Fundamental Operations | Number System | Term 1 Chapter 1 | 7th Maths

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