Question

20 points

must show work ALL of it
this is about ratio

6: ____:15 = ____: 20 : 10

Answer 1

AnswEr :

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• 6 : 30 : 15 = 4 : 20 : 10

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➤ How to solve ?

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For solving such questions we need to know ratio and proportion .

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We know that in a : b : c = x : y : z ;

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a : b = x : y

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b : c = y : z

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c : a = z : x

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Solution :

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let the unknown value be x and y ;

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Therefore ;

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Required ratio = 6 : x : 15 = y : 20 : 10

➠ x : 15 = 20 : 10

Now, we will change it into fraction

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➠ x / 15 = 20 / 10

➠ x = 20 × 15 / 10

➠ x = 2 × 15

➠ x = 30

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Now the ratio becomes ;

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6 : 30 : 15 = y : 20 : 10

➠ 6 : 30 = y : 20

➠ 6 / 30 = y / 20

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➠ y = 6 × 20 / 30

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➠ y = 6 × 2 / 3

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➠ y = 2 × 2

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➠ y = 4

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$\sf{\underline{\boxed{\large{\blue{\mathsf{Required \: ratio = 6 : 30 : 15 = 4 : 20 : 10 }}}}}}$

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