15. The cost of two pens, one eraser and three
sharpeners is 23. The cost of six pens, three erasers
and one sharpener is 45. The cost of fourteen pens,
seven erasers and twenty-one sharpeners is 161.
Find the cost of each pen (in.).
(A) 3
(B) 4
(C) 5
Cannot be determined
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Answer:
Let, p, e and s be the number of pencils, erasers and sharpners
From Question we get,
2p + 3e + 1s = 23
4p + 5e + 7s = 67
Multiply first eqn by 6 and second eqn by 3, we get
12p + 18e + 6s = 138
12p + 15e + 18s = 201
Now adding both the above eqns, we get
24p + 33e + 24s = 339
Hence, answer is Rs. 339
AND IDK WHY THE SHARPNERS ARE ₹2
@Loki
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