Q). Harry made fruit punch using 2 parts orange juice to 3 parts soda water. The amount of soda water that Harry used is directly proportional to the amount of orange juice he used. How many cups of orange juice should Harry use with 18 cups of soda water?

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Solution

Dear student,

$L e t j r e p r e s e n t s t h e a m o u n t o f j u i c e . A c c . t o p r o p o r t i o n a l i t y, \frac{2}{3} = \frac{j}{18} \Rightarrow 2 \times 18 = j \times 3 \Rightarrow \frac{2 \times 18}{3} = j \Rightarrow j = 2 \times 6 \Rightarrow j = 12 T h u s 12 c u p s o f o r a n g e j u i c e s h o u l d H a r r y u s e d w i t h 18 c u p s o f s o d a w a t e r .$

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Q). Harry made fruit punch using 2 parts orange juice to 3 parts soda water. The amount of soda water that Harry used is directly proportional to the amount of orange juice he used. How many cups of orange juice should Harry use with 18 cups of soda water?

Dear student, Let j represents the amount of juice.Acc. to proportionality,23=j18⇒2×18=j×3⇒2×183=j⇒j=2×6⇒j=12Thus 12 cups of orange juice should Harry used with 18 cups of soda water. Regards