Which are equivalent ratios to 4:9?
1 answer:
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4 liters of punch can serve 16.
5 liters of punch will be needed for 20 servings.
7 liters of punch will serve 28.
Step-by-step explanation:
Given,
Ratios of liters of punch to servings = 2:8
Let,
x be the servings for 4 liters.
New ratio of liters of punch to servings = 4:x
Using proportion;
Ratio :: New ratio
Product of mean = Product of extreme
Dividing both sides by 2
4 liters of punch can serve 16.
Let,
y be the liters of punch for 20 servings.
New ratio = y:20
Using proportion;
Product of mean = Product of extreme
Dividing both sides by 8
y=5
5 liters of punch will be needed for 20 servings.
Let,
z be the number of servings for 7 liters of punch.
New ratio = 7:z
Using proportion
Product of mean = Product of extreme
Dividing both sides by 2
7 liters of punch will serve 28.
Keywords: ratio, proportion
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