Question

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.

Answer 1

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

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

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