five small buckets and 2 large bucket of water make 20 litres, 2 small buckets and 3 large bucket make only 19 litres. how much water can each bucket hold?
Answers
Given : 5 small buckets and 2 large bucket of water make 20 litres,
2 small buckets and 3 large bucket make only 19 litres.
To Find: how much water can each bucket hold?
Solution:
Assume that small bucket can hold water = x liter
Assume that large bucket can hold water = y liter
5 small buckets and 2 large bucket of water make 20 litres,
=> 5x + 2y = 20 Eq1
2 small buckets and 3 large bucket make only 19 litres.
=> 2x + 3y = 19 Eq2
3Eq1 - 2 * Eq2
=> 15x - 4x = 60 - 38
=> 11x = 22
=> x= 2
Substitute in Eq1
5(2) + 2y = 20
=> y = 5
Small bucket can hold water = 2 liter
large bucket can hold water = 5 liter
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