Question

Cost of 25 pencils and 20 sharpeners is Rs.100. If the cost of sharpener is more than the cost of pencil by 50 paise. What is the total cost of 3 pencils and 4 sharpeners?

Answer 1

cost of three pencils=3×3.75=11.25 and cost of four sharpener=4×1

Answer 2

The  total cost of 3 pencils and 4 sharpeners is Rs. 16.

Step-by-step explanation:

We are given the following in the question:

Cost of 25 pencils and 20 sharpeners = Rs 100

Let x be the cost of one pencil and y be the cost of one sharpener.

The cost of sharpener is more than the cost of pencil by 50p.

Thus, we can write the following equations based on the given information:

$y = x + 0.50\\25x + 20y = 100\\25x + 20(x+0.50) = 100\\25x + 20x +10 = 100\\45x = 90\\x = 2\\y = 2.5$

Thus, cost of one pencil is Rs. 2 and cost of one sharpener is Rs. 2.5

Cost of  3 pencils and 4 sharpeners =

$3x + 4y\\=3(2) + 4(2.5)\\=6+10\\=16$

The  total cost of 3 pencils and 4 sharpeners is Rs. 16.

#LearnMore

The cost of four pencils and three sharpeners is rs. 115. The cost of seven erasers and five sharpeners is rs. 230. The cost of five pencils and six erasers is rs. 140. What is the cost of one pencil, two erasers and three sharpeners?

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