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Concept of Ratios
Q4)

Use the following information to answer the next question.

There are two bottles,AandB. Each bottle has a capacity of 1 L and contains a mixture of juice concentrate and water in different ratios. For bottleA, this ratio is 1:3, while for bottleBthe ratio is 3:7.

The amount of juice concentrate in

bottleAis 50 mL more than that in bottleB

bottleBis 50 mL more than that in bottleA

bottleAis 100 mL more than that in bottleB

bottleBis 100 mL more than that in bottleA

$G i v e n, t w o b o t t l e s A a n d B, e a c h h a s a c a p a c i t y o f 1 L a n d c o n t a i n s a m i x t u r e o f j u i c e c o n c e n t r a t e a n d w a t e r i n d i f f e r e n t r a t i o s . F o r b o t t l e A, t h i s r a t i o i s 1 : 3 S i n c e b o t t l e A h a s a c a p a c i t y o f 1 L . S o, j u i c e c o n c e n t r a t e i n b o t t l e A = \frac{1 L}{1 + 3} = \frac{1000 m l}{4} = 250 m l (b e c a u s e, 1 L = 1000 m l) A n d, F o r b o t t l e B, t h i s r a t i o i s 3 : 7 S i n c e b o t t l e B h a s a c a p a c i t y o f 1 L . S o, j u i c e c o n c e n t r a t e i n b o t t l e B = \frac{3 L}{3 + 7} = \frac{3 \times 1000 m l}{10} = 300 m l (b e c a u s e, 1 L = 1000 m l) T h u s, j u i c e c o n c e n t r a t e i n b o t t l e B - j u i c e c o n c e n t r a t e i n b o t t l e A = 300 m l - 250 m l = 50 m l \Rightarrow j u i c e c o n c e n t r a t e i n b o t t l e B = 50 m l + j u i c e c o n c e n t r a t e i n b o t t l e A \Rightarrow j u i c e c o n c e n t r a t e i n b o t t l e B i s 50 m l m o r e t h a n t h a t i n b o t t l e A . H e n c e, o p t i o n (C) i s c o r r e c t .$

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