Question

If the cost of 8 erasers and 5 sharpeners is Rs. 31/-, what will be the cost of 24 erasers and 10
sharpeners?​

Answer 1

Rs. 78 would be the cost of 24 erasers and 10  sharpeners.

Step-by-step explanation:

Let the cost of an eraser = x

Let the cost of a sharpener = y

so,

8x + 5y = 31 ...(i)

Considering 78 to be the cost of 24 sharpeners and 10 erasers(out of the given options),

24x + 10y = 78 ...(ii)

By solving (i) and (ii), we get

The cost of each eraser = Rs. 2

The cost of each sharpener = Rs. 3

Thus,

Cost of erasers = 8 * 2 = Rs. 16

Cost of sharpeners = 5 * 3 = Rs. 15

Now,

The cost of 24 erasers = 24 * Rs. 2 = Rs. 48

The cost of 10 sharpeners = 10 * Rs. 3 = Rs. 30

∵ The total cost of 24 erasers and 10 sharpeners is 48 + 30 = Rs. 78

Learn more: find the cost price

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