Selina solutions

Selina solutions

Grade 6

Proportion (Including Word Problems) | Exercise 12(C)

Question 1

Q1) Are the following numbers in proportion:

(i) 32, 40, 48 and 60 ?

(ii) 12,15,18 and 20 ?

Solution:

(i) 32, 40, 48 and 60 are in proportion

If 32:40 = 48:60

If 32 x 60 = 40 x 48

\left\{\frac{a}{b}=\frac{c}{d}\ \Rightarrow\ ad=bc\right\}

If 1920 = 1920

Which is true.

32, 40, 48 and 60 are in proportion.

(ii) 12, 15, 18 and 20 are in proportion

If 12:15 = 18:20

If 12 x 20 = 15 x 18 {ad = bc}

If 240 = 270

Which is not true

12, 15, 18 and 20 are not in proportion.

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subject-cta

Question 1

Q1) Are the following numbers in proportion:

(i) 32, 40, 48 and 60 ?

(ii) 12,15,18 and 20 ?

Solution:

(i) 32, 40, 48 and 60 are in proportion

If 32:40 = 48:60

If 32 x 60 = 40 x 48

\left\{\frac{a}{b}=\frac{c}{d}\ \Rightarrow\ ad=bc\right\}

If 1920 = 1920

Which is true.

32, 40, 48 and 60 are in proportion.

(ii) 12, 15, 18 and 20 are in proportion

If 12:15 = 18:20

If 12 x 20 = 15 x 18 {ad = bc}

If 240 = 270

Which is not true

12, 15, 18 and 20 are not in proportion.

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subject-cta
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