The total cost of 8 buckets and 5 mugs is Rs.92 and the total cost 5 buckets and 8 mugs is Rs.77, Find buckets the cost and of 2 mugs and 3 buckets.

The total cost of 8 buckets and 5 mugs is Rs.92 and the total cost 5 buckets and 8 mugs is Rs.77, Find buckets the cost and of 2 mugs and 3 buckets.
1). Rs.35
2). Rs.70
3). Rs.30
4). Rs.38

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Guest · Answer 1 · 2018-01-20 03:06:30

1 vote

Answered by Guest on 2018-01-20 03:06:30 | Votes 1 | #

I am not sure, may be Rs.35 is correct

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Guest · Answer 2 · 2018-01-23 11:55:56

C.P. of 1 bucket =x C.P. of 1 mug=y $\therefore$ 8x+5y=92 .......(i) 5x+8y=77 .......(ii) By using equation (i)$\times 5 - equation (ii)\times 8$ 40x+25y-40x-64y=460-616 $\Rightarrow$ -39y=-156 $\Rightarrow$ y=4 From equation (i), 8x+20=92 $\Rightarrow$ 8x=92-20=72 $\Rightarrow$ x=9 $\therefore$ C.P. of 2 mugs and 3 buckets $=2\times 4+3\times 9$ =8+27=35 Rs.

The total cost of 8 buckets and 5 mugs is Rs.92 and the total cost 5 buckets and 8 mugs is Rs.77, Find buckets the cost and of 2 mugs and 3 buckets.

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