Question

eight small buckets and three large bucket of water makes 30 litre. five small buckets and nine large bucket of water make 33litres. how much can each bucket hold in algerba
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Answer 1

Explanation:

$8x + 3y = 30 \: (1) \\ 5x + 9y = 33 \: (2) \\ using \: (1) \: \\ 3y = 30 - 8x \\3y \times 3 = (30 - 8x) \times 3 \\ 9y = 90 - 24x \\ using \: (2) \\ 9y = 33 - 5x \\ combining \: (1) \: and \: (2) \\ 90 - 24x = 33 - 5x \\ 90 - 33 = 24x - 5x \\ 57 = 19x \\ x = 3 \\ y = \frac{33 - 5x}{9 } \\ y = \frac{33 - 5(3)}{9} \\ y = 2$