Five small buckets and two larger buckets of water makes 20 L ;two small buckets and three larger buckets make only 19 L .how much water can each bucket hold?
Answers
Answer:
Let x and y be the litre of water each small and larger bucket could hold . Given that-
5x + 2y = 20
5x = 20 - 2y
x = (20 - 2y). ____(i)
5
and , 2x + 3y = 19 ______(ii)
from eq. (i) ang (ii) , we get
2 ( 20 - 2y) + 3y = 19
5
40 - 4y + 3y =. 19
5
40 - 4y + 15y = 95
11y = 55
y =. 5
now putting yi = n. eqn (i)
we get ,
x = 2
thus the small bucket can hold upto 2L and the larger bucket upto 5L
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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