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3 years ago

Please answer now I’m giving out 100 points

Mathematics

1 answer:

N76 [4]3 years ago

4 0

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

$2:8::4:x$

Product of mean = Product of extreme

$8*4=2*x\\32=2x\\2x=32$

Dividing both sides by 2

$\frac{2x}{2}=\frac{32}{2}\\x=16$

4 liters of punch can serve 16.

Let,

y be the liters of punch for 20 servings.

New ratio = y:20

Using proportion;

$2:8::y:20$

Product of mean = Product of extreme

$8*y=20*2\\8y=40\\$

Dividing both sides by 8

$\frac{8y}{8}=\frac{40}{8}$

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

$2:8::7:z\\$

Product of mean = Product of extreme

$8*7=2*z\\56=2z\\2z=56$

Dividing both sides by 2

$\frac{2z}{2}=\frac{56}{2}\\z=28$

7 liters of punch will serve 28.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

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