Question

The total cost of 8 buckets and 5 mugs is rupees 92 and total cost of 5 buckets and 8 mugs is rupees 77. find the cost of 2 mugs and 3 buckets

Answer 1

Solve the problem letting...
Bucket price = x
Mug price = y

Then we get,
8x + 5y = 92
5x + 8y = 77

Solving the equations, it comes, x = 9 and y = 4

So, 2x + 3y = 18 + 12 = 30

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Answer 2

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solution:

let the buckets and mugs be x and y then ,we have:

8x+5y=92.....1)
5y+8x=77.......2)

on multiplying eq 1) by 5 an eq 2) by 8 we have:

40x+25y=460
40x+64x=616

on solving both we have:

39x=156
x=4

on putting value of x in eq 1) we have:
y=12

now , cost of 2 mugs is
2×12=₹24

and cost of 3 buckets is
3×4=12

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