The answer is: " 2 :5 " ; or, write as: " 2/5 " . ________________________________________________________ The ratio of 'girls' to 'all students' is: "2: 5 " ; or, write as: " 2/5 ". ________________________________________________________ Explanation: ________________________________________________________ Given: The ratio of boys to girls is: " 3:2 " .
Problem: Find the ratio of "girls" to "all students: ________________________________________________________ Note: This ratio of "boys to girls", which is " 3 : 2 " ; ________________________________________________________ → can be expressed as " 3x: 2x" ;
in which the total number of students is: " 3x + 2x " = 5x " .
→ The total number of students is represented as: " 5x " . ________________________________________________________ → The ratio of "girls to boys" is: "2x : 3x" .
→ {that is; the "inverse" of the ratio of "boys to girls"} ; →{that is; the "inverse" of " 3x: 2x" } ; → which is: " 2x : 3x " . ________________________________________________________
The ratio of "girls" to "all students" is: "2x : 5x " ; or " 2x/5x " ; → Both "x" values cancel ; {since: " x/x = 1 "} ; _________________________________________________________ → and we have the answer: " 2 :5 " ; or, write as: " 2/5 " . _________________________________________________________ The ratio of 'girls' to 'all students' is: " 2 :5 " ; or, write as: " 2/5 ". _________________________________________________________
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