Q.3 Mixed Problems .
1) In a village total 48645 voting is done .Out of that 17312 men & 29183 women
are voted .How many vote did the third contest get ?
2) The forest department planted 23,078 trees of khair , 19476 of behada besides
trees of several other kinds .If the department palted 50,000 trees altogether .
How many other trees ?
3) Seema has collected Rs. 60,000 in 3 months .She collected Rs.12000 in the first
month & Rs. 24090 in second month .How many rupees should she collected in
the third month ?
4) A town has a population 94,041 .If this includes Rs. 31,421 men & 32131 women
What is the number of children in town ?
5) For a three day cricket match , 13,608 tickets were sold on the first day & 8,955
on the second day .If altogether 37,570 ticekts were sold in second days ,How
many were sold on the third day ?
6) Riya has 872 beads .He sold 513 of them .How many beads does he have ?
7) In a nursery ,there were 41,150 saplings ,14230 were mango sapling & 10,241
were teak sapling .How many other sapling were there ?
8) In an election one contenstant got 35, 435 votes another contenstant got 30,303
votes & third contenstant got some votes .If three of them got 75,000 votes.
altogether , how many votes did the third constestant get ?
9) During the polio eradication compaign . 30, 490 boys & 25899 girls given the
polio caccine . Altogether how many children got the vaccine .
10) What will be the sum of smallest 4 digit & smallest 4 digit number ?
11) If the government gave Rs. 47,550 worth of computer & 39,880 worth of TV
set to the schools, what is the total amount it spent on this equipment ?
12) If Rajani bought a tractor for Rs. 60,000 & a thresher for Rs. 37, 707 , how
much money did she spend altogether ?
13) A textile mill produced 58,103 , metre of the cloth last year & 37, 355 metre
this year. What was the total production for the two years ?
14) In 1995 the population of a village was 34,105 .In 2000 54,304 By houw much
did the population grow ?
Answers
Answer:
STEP
1
:
Equation at the end of step 1
STEP
2
:
Equation at the end of step
2
:
STEP
3
:
4x2 - 100
Simplify ———————————
6 • (x + 5)
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
4x2 - 100 = 4 • (x2 - 25)
Trying to factor as a Difference of Squares:
4.2 Factoring: x2 - 25
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : x2 is the square of x1
Factorization is : (x + 5) • (x - 5)
Canceling Out :
4.3 Cancel out (x + 5) which appears on both sides of the fraction line.
Final result :
2 • (x - 5)
———————————
3