Sharon is making 100 liters of punch for a party. The punch contains ginger ale (g) and fruit (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?

Question

Mathematics

Kai

29 April, 16:30

Sharon is making 100 liters of punch for a party. The punch contains ginger ale (g) and fruit (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?

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Answers (1)

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Rylee Hobbs · Answer 1

12 liters of fruit.

88 liters of ginger ale.

Step-by-step explanation:

100 = g + f

130 = 1g + 1.5f

f = 12

because u can use elimination by multiplying equation 2 by - 1 to cancel out g variable then combine both equations

g = 88

because plug in f's value of 12 to 1st equation then subtract 12 from each side