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

Mathematics

Justus

25 July, 03:47

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?

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Answers (1)

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Madilyn Padilla · Answer 1

G+f=100liters

$1g + $1.5f = $130

g=130-1.5f substitute into first equation for g

(130-1.5f) + f=100

130-.5f=100

-.5f=100-130

-.5f=-30

f=-30/-.5

f = 60 liters of fruit juice

substitute into first equation

g+60 = 100liters

g=100-60

g=40 liters of ginger ale