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A drink recipe calls for carrot juice and grape juice. This equation represents theproportional relationship between the number of liters of carrot juice (c) and grape juice (9)in the recipe.4c = 529Enter the number of liters of grape juice used for 1 liter of carrot juice.

User Bernard Chen
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1 Answer

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22 votes

Here, they want us to find how many litres of grape juice can be produced for 1 litre of carrot juice given from the equation 4c = 52g

Where, the number of litres of carrot juice is c, and the number of litres of grape juice is g.

Frrom the question, c = 1, but we don't know the value of g.

To find g (the number of litres of grape juice), we will substitute the value for c = 1 into the equation 4c = 52g


\begin{gathered} 4(c)\text{ = 52g} \\ 4(1)\text{ = 52g} \\ 4\text{ x 1 = 52g} \\ 4\text{ = 52g} \\ \text{Divide both sides by 52 to get g} \\ (4)/(52)\text{ = }(52g)/(52) \\ g\text{ = }(4)/(52) \\ g\text{ = }(1)/(13)\text{ litres or 0.0769 litres } \end{gathered}

Answer = 0.077 litres of grape juice for 1 litre of carrot juice.

User Rberggreen
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