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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.

There are $45$ persons working in an office. If the number of females is $25$ and the remaining are males, find the ratio of: $\newline$ (a) The number of females to number of males. $\newline$ (b) The number of males to number of females.

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Write a linear function: word problems

Full solution

Q. There are

45

persons working in an office. If the number of females is

25

and the remaining are males, find the ratio of:

\newline

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

\newline

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

Calculate Males: Calculate the number of males in the office. $\newline$ Since there are $45$ persons total and $25$ are females, subtract the number of females from the total number of persons to find the number of males. $\newline$ Number of males $=$ Total persons $-$ Number of females $\newline$ Number of males $= 45 - 25 = 20$
Find Female-Male Ratio: Find the ratio of the number of females to the number of males. $\newline$ Use the numbers calculated: $25$ females and $20$ males. $\newline$ Ratio (females to males) = Number of females : Number of males $\newline$ Ratio (females to males) = $25 : 20$
Simplify Female-Male Ratio: Simplify the ratio of females to males. $\newline$ Divide both numbers by their greatest common divisor, which is $5$ . $\newline$ Simplified ratio (females to males) = $(25 \div 5) : (20 \div 5)$ $\newline$ Simplified ratio (females to males) = $5 : 4$
Find Male-Female Ratio: Find the ratio of the number of males to the number of females. $\newline$ Use the numbers calculated: $20$ males and $25$ females. $\newline$ Ratio (males to females) = Number of males : Number of females $\newline$ Ratio (males to females) = $20 : 25$
Simplify Male-Female Ratio: Simplify the ratio of males to females. $\newline$ Divide both numbers by their greatest common divisor, which is $5$ . $\newline$ Simplified ratio (males to females) = $(20 \div 5) : (25 \div 5)$ $\newline$ Simplified ratio (males to females) = $4 : 5$

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