e. The ratio of number of girls to boys in a class is 3:4. If the number of girls is 12 less than the number of boys, the total number of students in the class is
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e. The ratio of number of girls to boys in a class is 3:4. If the number of girls is 12 less than the number of boys, the total number of students in the class is
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Answer:
If B stands for Boys and G stands for Girls,
Step-by-step explanation:
B/G=3/4
12/G=3/4, since B=12
12=3G/4, after multiplying both sides by G
48=3G, after multiplying both sides by 4
G=16, after dividing both sides by 3
16+12=28 is the size of the class, as the sum of G and B.
Answer:
There are 84 students in the class.
Step-by-step explanation:
Let "3x" represent the number of girls.
Let "4x" represent the number of boys.
(Question: Why 3 represent the girls and not the boys?)
(Answer: Because the girls were 12 LESSER than the boys)
Given: The girls number is 12 less than the number of boys.
Formula: [tex]4x = 3x - 12[/tex]
Solve:
[tex]4x = 3x - 12[/tex]
[tex]4x - 3x = 3x - 12 - 3x[/tex]
[tex]1x = 12[/tex]
[tex]\frac{1x}{1} = \frac{12}{1}[/tex]
[tex]x = 12[/tex]
Boys number: switch the x to 12
[tex]=4x\\=4(12)\\= 48[/tex]
Girls number: switch the x to 12
[tex]= 3x\\= 3(12)\\= 36[/tex]
The number of students in class:
boy + girls =
48 + 36 = 84
Hope this helps