Question 121

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

Solution

Let cost of 1 bucket be $$x$$ and one mug be $$y$$

=> $$8x + 5y = 92$$

and $$5x + 8y = 77$$

Solving above equations, we get $$x = 9$$ and $$y = 4$$

=> Cost of 2 mugs and 3 buckets = $$3x + 2y$$

= 3*9 + 2*4 = 35

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