If x+3y = 1 find x/y
5x-3y
3
Solution
x+3y = 1
5x-3y 3
1(5x-3y) =
3(x+3y) [after cross
multiplying]
5x-3y =
3x+9y
5x - 3x = 9y
+ 3y [after collecting the like terms]
2x = 12y
12x = 612y
12 2
1
x = 6y
x = 6y
y y
x = 6
y
Hence x/y = 6 answer.
TRY
THIS......................
If x+3y = 1 find x/y
x- 2y
6
Find the
reciprocal of 0.35
Solution
= 1
.
0.35
= 1 ÷ 0.35
= 1 x 1/0.35
= 1 x 1
. after changing 0.35 into fraction
35/100
= 1 x 100
35
= 20/7
TRY THIS........
Find the
reciprocal of 0.4
Evaluate
90 + 50 x 3 – 80 ÷ 4
Solution
We
apply BODMAS.
=
90 + 50 x 3 – 80 ÷ 4
=
90 + 50 x 3 – 20 [After dividing]
=
90 + 150 – 20 [After multiplying]
=
240 – 20 [After adding]
=
220 [After subtracting]
Hence
90 + 50 x 3 – 80 ÷ 4 = 220
TRY
THIS...................................
Evaluate
200 + 10 x 30 – 60 ÷ 4
Area of rectangle is 48m2. Find its perimeter if width is 4m.
Solution
A
= L x w
48
= L x 4
48 = 4L
4 4
12
= L
Now;
P =2(L + w)
=
2(12 + 4)
=
2 x 16
=
32m
Hence
perimeter is 32m
TRY THIS………..
Area
of rectangle is 80m2. Find its perimeter if width is 4m.
If logx 2401 – log3729 = -4; find x
Solution
logx
2401 – log3729
= -2
logx
2401 – log336
= -2
logx
2401 – 6log33
= -2
logx
2401 – 6 x 1 = -2
logx
2401 – 6 = -2
logx
2401 = -2 + 6
logx
2401 = 4
2401
= x4 2401=7x7x7x7=74
by prime factors
74
= x4 Powers cancel out
x =
7
Hence
x = 7.
TRY THIS………….
If
logm2048 – log6216 = 8; find m
If
u = 16i + 2j and v = 8i + 10j find 4u - 3v
solution
= 4u
- 3v
= 4(16i
+ 2j) - 3(8i + 10j)
= 64i
+ 8j - 24i - 30j
= (64i
- 24i) + (8j - 30j)
[grouping like terms]
= 40i
- 22j
Hence 4u - 3v = 40i
- 22j .
TRY
THIS..................
If u = 10i + 3j and v = 11i + 4j; find 6u - 2v.
Prepare a profit and loss account for the year ended 31ST
May, 2014 from the following balances:
Transport……………………..…………..sh.
59,000
Advertising …………..………………… sh.
70,000
General expenses…………..……….
sh 34,000
Sundry expenses…………..………..
sh 5,000
Interest received …………..……….sh.
35,000
Carriage …………..……………………..sh
42,000
Gross profit …………..………………
sh 125,000
Solution
|
Dr
PROFIT
AND LOSS ACCOUNT FOR THE YEAR ENDED ON 31TH, MAY-2018 Cr |
|||||
|
Particulars |
Folio |
Amount |
Particulars |
Folio |
Amount |
|
Transport |
|
59,000 |
Gross profit |
b/d |
125,000 |
|
Advertising |
70,000 |
Interest received |
35,000 |
||
|
General expenses |
34,000 |
Net Loss |
50,000 |
||
|
Sundry expenses |
5,000 |
|
|
||
|
Carriage |
42,000 |
|
|
||
|
|
|
210,000 |
|
|
210,000 |
TRY THIS………..
Prepare a profit and loss account for the year ended 31ST
November, 2014 from the following balances:
Transport ------------------sh.
74,000
Advertising ----------------sh.
54,000
General expenses----------
sh 38,000
Sundry expenses -----------sh
9,000
Interest received----------
sh. 35,000
Carriage -------------------sh
21,000
Gross profit----------------sh
103,000
Simplify (7a)2 -
3a2.
Solution
= (7a)2 - 11a2
= 72.a2
- 11a2 Since
(mn)2 =m2 . n2
= 49a2 - 11a2 {since the square number of 7 is 49}
= 38a2
TRY THIS………………
Simplify (9f)2 – 50f2.
Evaluate Log1,000,000,000 + log (0.01)6 + log3243
Solution
=
Log1,000,000,000 + log (0.01)6 + log3243
=
Log109 + log (10-2)6 + log33-5 since [0.01=10-2]
=
Log109 + log 10-12 + log33-5
=
9Log1010 + (-12log10 10) + (-5log33)
=
(9x1) + (-12x1) + (-5x1)
=
9 + (-12) + (-5)
=
9 + (-17)
=
-8
Hence
Log1,000,000,000 + log (0.01)6 + log3243
= -8
TRY THIS……………..
Evaluate
Log100,000,000 + log (0.001)12
+ log381
