Sharon is making 100 liters of punch for a party. The punch contains ginger ale (g) and fruit juice (f). The cost of the ginger ale is $1 per liter and the fruit juice is $1.50 per liter. If Sharon spent a total of $130, how many liters of each did she put in the punch? Which system of equations matches the situation?

Question

Sharon is making 100 liters of punch for a party. The punch contains ginger ale (g) and fruit juice (f). The cost of the ginger ale is $1 per liter and the fruit juice is $1.50 per liter. If Sharon spent a total of $130, how many liters of each did she put in the punch? Which system of equations matches the situation?

Answer 1

Let g be the number of liters of ginger ale and f be the number of liters of fruit juice. Because she made 100 liters of punch, the first equation is g + f = 100.

The second equation comes from the cost of the ingredients. The cost of the ginger ale is 1*g and the cost of the fruit juice is 1.50*f, so the equation is g + 1.50*f = 130. Answer: $\begin{cases} g + f = 100 \\ g + 1.50f = 130 \end{cases}$