Maliqostouteidn
Answered

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there are 30 pupils in a class the ratio of boys to girls is 3:2 how many boys are in class

Sagot :

Aiseuamerikanoidn

Answer:

18 are boys are in the class.

UK2019idn

✏️RATIO

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[tex]\underline{\mathbb{PROBLEM:}}[/tex]

  • There are 30 pupils in a class the ratio of boys to girls is 3:2. How many boys are in a class.

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[tex]\underline{\mathbb{ANSWER:}}[/tex]

[tex]\qquad\LARGE\rm» \:\: \green{18\:boys}[/tex]

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[tex]\underline{\mathbb{SOLUTION:}}[/tex]

- Let x be the number multiplied to each part of the ratio and equate to the total number of pupils in a class.

  • [tex]3x + 2x = 30[/tex]

  • [tex]5x = 30[/tex]

  • [tex] \frac{ \cancel5x}{ \cancel5} = \frac{30}{5} \\ [/tex]

  • [tex]x = 6[/tex]

- Since we are looking for the boys pupils, substitute the value of x to the ratio of the boys.

  • [tex]Boys = 3x[/tex]

  • [tex]Boys = 3(6)[/tex]

  • [tex]Boys = 18[/tex]

[tex]\therefore[/tex] There are 18 boys in a class.

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