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Title: Algebra _ Applications of simultaneous linear
Description: Algebra _ Applications of simultaneous linear Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations.
Description: Algebra _ Applications of simultaneous linear Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations.
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Algebra
Applications of simultaneous linear equations
1
...
52
...
53 when Paul bought 7 pens and 3 ink pads, the shop
keeper took a 50 rupee note from him and paid back the cost of 7 rulers
...
Solution:
Let the cost of 1 ruler, 1 ink pad and 1 pen be Rs
...
y
...
z respectively
...
1
Cost of 1 ink pad
= Rs
...
= Rs
...
3A’s, 2B’s
and 5C’s ; 5A’s, 1 B’s and 5C’s ; 3A’s, 5B’s and 6C’s
...
22, Rs
...
33, find the sale price of each item
...
2, Rs
...
2 respectively
...
There are 3 types of benches in a class
...
If 4 benches of type A , 5 benches of type B and 3 benches of type C
are used then 2 students are left out with no seats
...
Find the no
...
Solution:
According to the given problem
5x + 4y + 3z
= 94
-----(1)
4x + 5y + 3z
= 98
-----(2)
3x + 7y + 2z
= 104
-----(3)
(1)
5x + 4y + 3z
= 94
(2)
4x + 5y + 3z
= 98
x–y
= 4
(2) x 2
8x + 10y + 6z = 196
(3) x 3
9x + 21y + 6z = 312
x –11y = 116
(4)
(5)
x – y = 4
x –11y
= 116
12y
= 120
From (4)
y
= 10
x – 10
= –4
x
From (1)
= 6
30 + 40 + 3z = 94
3z
= 24
z
= 8
Type A
6 students
Type B
10students
-----(4)
-----(5)
Type C
4
...
There are 12 pieces
...
105
...
20
...
Solution:
Let x be the number of five rupees currency
y be the number of ten rupees currency
z be the number of twenty rupees currency
x+y+z
= 12
-----(1)
5x + 10y + 20z
= 105
-----(2)
10x + 5y + 20z
= 125
-----(3)
20x + 20y + 20z
= 240
5x + 10y + 20z
= 105
15x + 10y
= 131
(2)
5x + 10y + 20z
= 105
(3)
10x + 5y + 20z
= 125
5x + 5y
= 20
(1) x 20
(2)
x–y
= 4
(4)
15x + 10y
= 135
(5) x 10
10x –10y
= 40
25x
From (5)
From (1)
= 175
x
= 7
7–y
= 4
y
= 3
7+3 +z
z
= 12
= 2
No of 5 rupees currency
= 7
No of 10 rupees currency
= 3
-----(4)
----(5)
No of 20 rupees currency
5
...
Sum of the first number, twice the second number and 3
times the third is 19 and the sum of first, four times the second and nine times the
third is 43, Find the numbers
...
e
...
e
Title: Algebra _ Applications of simultaneous linear
Description: Algebra _ Applications of simultaneous linear Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations.
Description: Algebra _ Applications of simultaneous linear Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations.