The total cost of 6 books and 7 pens is 79 rupees and the total cost of 7 books and 5 pens is 77 rupees. Find the cost of 1 book and 2 pens.
Answers
Answered by
80
Answer:
The answer is 19.
Step-by-step explanation:
Given:-
- The total cost of 6 books and 7 pens is 79 rupees
- The total cost of 7 books and 5 pens is 77 rupees.
To find:-
- The cost of 1 book and 2 pens.
Solution: -
Let the cost of the book be x
And the cost of pen be y
Then the cost of 6 books n 7 pens is
6x + 7y = 79
And 7x + 6y = 77
Now let us add both equations
13x + 13y = 156
X + y = 12
Let us subtract both equations
-x + y = 2
Now let us add the equations so obtained then
X - x + y + y = 12 + 2
2y = 14
y = 7
Substitute in one equation then
X + 7 = 12
X = 5
So the cost of one book is 5
And one pen is 7
So the cost of 1 book and 2 pens is
X + 2y
= 5 + 2(7)
= 5 + 14
= 19
Hence, the cost of 1 book and 2 pens is 19. rupees.
Answered by
1
Answer:
above answer was correct
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