Question

The total number cost of 9 forks and 5 knives is $71. The total cost of 3 forks and 3 knives is $33. Find the difference in cost between a fork and a knife.

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Answer 1

Answer:

Let x rupees and y rupees be the cost of one knife and one fork respectively.

Therefore, according to the question,

4x+6y=66 ...(i)

5x+4y=72 ...(ii)

On multiplying (i) by 5 and (ii) by 4 and subtracting, we get

20x+30y=330

−

2

0x

−

+

16y=

−

2

88

14y=42

∴y=3

On putting y=3 in (i), we get

4x+18=66⇒x=12

∴cost of one knife=Rs. 12 and

cost of one fork=Rs.3

Answer 2

Step-by-step explanation:

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