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Kazeer [188]
3 years ago
9

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Answer:

Cranberry:Apple:Orange = 7:5:8

Step-by-step explanation:

Given

Apple = 1/4

Orange = 2/5

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

Cranberry + Apple + Orange = 1

Substitute values for Apple and Orange

Cranberry + 1/4+ 2/5= 1

Collect Like Terms

Cranberry = 1- 1/4- 2/5

Take LCM

Cranberry = \frac{20 - 5 - 8}{20}

Cranberry = \frac{7}{20}

The ratio is then represented as:

Cranberry:Apple:Orange = 7/20:1/4:2/5

Multiply through by 20

Cranberry:Apple:Orange = 20(7/20:1/4:2/5)

Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5

Cranberry:Apple:Orange = 7:5:8

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What is the answer to 2 3/8 ÷ 1 1/4
OLEGan [10]
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First, convert 2 \frac{3}{8} to improper fraction. Use this rule: a \frac{b}{c} = \frac{ac+b}{c}. Your problem should look like: \frac{2x8+3}{8} ÷ 1\frac{1}{4}.
Second, simplify 2 x 8 to get 16. Your problem should look like: \frac{16+3}{8} ÷ 1 \frac{1}{4}.
Third, simplify 16 + 3 to get 19. Your problem should look like: \frac{19}{8} ÷ 1 \frac{1}{4}.
Fourth, convert 1\frac{1}{4} to improper fraction. Use the same rule as earlier. Your problem should look like: \frac{19}{8} ÷ \frac{4+1}{4}.
Fifth, simplify 4 + 1 to get 5. Your problem should look like: \frac{19}{8} ÷ \frac{5}{4}.
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Ninth, simplify 8 × 5 to get 40. Your problem should look like: \frac{76}{40}.
Tenth, simplify. Your problem should look like: \frac{19}{10}.
Eleventh, convert to mixed fraction. Your problem should look like: 1 \frac{9}{10} which is the answer.

Answer as mixed number form: 1\frac{9}{10}.
Answer as exact form: \frac{19}{10}.
Answer as decimal form: 1.9.


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