Question

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1) Give two equivalent ratios of 6:4.
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2) There are 45 persons working in an office. If the number of females is 25 and the remaining are males, find the ratio of:
(a) The number of females to number of males.
(b) The number of males to number of females.​

Answer 1

➥Question

• Give two equivalent ratios of 6:4.

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➥Solution

$\large \rm Ratio \: 6:4 = \frac{6}{4} = \frac{6 \times 2}{4 \times 2} = \frac{12}{8}$

$\large \sf { ∴12:8\:is\:an\:equivalent\:ratio\:of\:6:8}$

Similarly,

$\large \rm the \: Ratio \: 6:4 = \frac{6}{4} = \frac{6 \div 2}{4 \div 2} = \frac{3}{2}$

So, 3:2 is another equivalent ratio of 6:4

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➥Question

There are 45 persons working in an office. If the number of females is 25 and the remaining are males, find the ratio of:

(a) The number of females to number of males.

(b) The number of males to number of females.

➥Solution

Number of females = 25

Total number of workers = 45

Number of males = 45 – 25 = 20

$\large \sf { ∴The\:ratio\:of\:number\:of\:females\:to\:the\:number\:of\:males}$

　　　　　　　　 = 25:20 = 5:4

$\large \sf { And\:the\:ratio\:of\:number\:of\:males\:to\:the\:number\:of\:females}$

　　　　　　　　= 20:25 = 4:5