The total coast of 6book and 7pens is 79rupees and the total coast of 7books and 5pens is 77 rupees find the cost of 1 book and 2pens
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0
6 book and 7 pen = 79 Rs.
7 book and 5 pen = 77 Rs.
1 book and 2 pen = ?
7 book and 5 pen = 77 Rs.
1 book and 2 pen = ?
Answered by
3
Answer:
cost of 1 book and 2 pens is Rs. 17.15
Step-by-step explanation:
Let the cost of 1 book = x rs
Let the cost of 1 pen = y rs.
Now, according to the question,
6x + 7y = 79
and, 7x + 5y = 77
Solving both the equations,
Multiply equation (1) by 5 and (2) by -7 and adding both equations, we get
30x - 49x + 77y - 77y = 395 - 539
0r, -19 x = -144
⇒ x= 144/19 = 7.57
Cost of 1 book = Rs 7.57
Substituting this in any of the both equation, we get
y = 4.79
Cost of 1 pen = Rs 4.79
So, cost of 1 book and 2 pens = x + 2y = 7.57 + 2(4.79) = Rs. 17.15
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