Ted and Anita make 4 gallon of mocktail each. Ted's mocktail has a soda to orange juice
ratio of 4:1. Anita's mock tail has a soda to orange juice ratio of 7:2. They decide to mix the 8 gallons of mock tail together in a larger container. What is the soda and orange juice ratio at the end in the mixture?
Answers
Given :-
- Ted's mocktail has a soda to orange juice
- ratio of 4:1.
- Anita's mock tail has a soda to orange juice ratio of 7:2.
- They decide to mix the 8 gallons of mock tail together in a larger container.
To Find :-
- 8 gallons of mock tail together in a larger container. What is the soda and orange juice ratio at the end in the mixture ?
Solution :-
→ In 4 gallons of Ted's mocktail soda = (4/5) of 4 = (16/5) gallons .
→ In 4 gallons of Ted's mocktail orange juice = (1/5) of 4 = (4/5) gallons .
similarly,
→ In 4 gallons of Ankita's mocktail soda = (7/9) of 4 = (28/9) gallons .
→ In 4 gallons of Ankita's mocktail orange juice = (2/9) of 4 = (8/9) gallons .
then,
→ In 8 gallons of mock tail mixture, Total soda = (16/5) + (28/9) = (16*9 + 28*5)/45 = (144 + 140)/45 = (284/45) gallons.
→ In 8 gallons of mock tail mixture, Total orange = (4/5) + (8/9) = (4*9 + 8*5)/45 = (36 + 40)/45 = (76/45) gallons.
therefore,
→ Required Ratio = (284/45) : (76/45)
→ Required Ratio = 284 : 76
→ Required Ratio = 71 : 19 (Ans.)
Hence, the soda and orange juice ratio at the end in the mixture is 71 : 19.
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