Question

One glass has juice and water in the ratio 5:2 while other glass has them in ratio 7:4, respectively. If both glasses poured in a vessel, then what will be final ratio of water to juice in the vessel?

Answer 1

Answer:

17/4

Step-by-step explanation:

5:2 &7:4 =10+7/4= 17/4

Answer 2

Final ratio of water to juice in the vessel is 25 : 52

Solution:

Given that,

One glass has juice and water in the ratio 5 : 2

While other glass has them in ratio 7 : 4

If both glasses poured in a vessel

what will be final ratio of water to juice in the vessel?

So, ratio of juice to water becomes,

$Juice : water = \dfrac{5}{7}+\dfrac{7}{11}:\dfrac{2}{7}+\dfrac{4}{11}\\\\\\ Juice : water =\dfrac{55+49}{77}:\dfrac{22+28}{77}\\\\\\ Juice : water =\dfrac{104}{77}:\dfrac{50}{77}\\\\\\ Juice : water =104:50\\\\\\Juice : water =52:25$

Therefore,

water : juice = 25 : 52

Thus, final ratio of water to juice in the vessel is 25 : 52

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