7 books and 5 pens cost rs 410 whereas 5 books and 7 pens cost rs 334 then the cost of 3 books and four pens would be?
Answers
Answer:
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Given : 7 books and 5 pens cost Rs 410
5 books and 7 pens cost Rs 334
To Find : The cost of 3 books and four pens would be
Solution:
Assume that One Book cost = Rs B
and One pen cost = Rs P
7 books and 5 pens cost Rs 410
=> 7B + 5P = 410 ... Eq1
5 books and 7 pens cost Rs 334
=> 5B + 7P = 334 ... Eq2
Eq1 + Eq2
12B + 12P = 744
=> B + P = 62 Eq3
Eq1 - Eq2
=> 2B - 2P = 76
=> B - P = 38 Eq3
Eq3 + Eq4
=> 2B = 100
=> B = 50
50 + P = 62
=> P = 12
cost of 3 books and four pens = 3B + 4P
= 3(50) + 4(12)
= 150 + 48
= 198 Rs
the cost of 3 books and four pens would be Rs 198
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