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A Choir is made up of men, women and children in the ratio 5:7:3. Altogether there are 285 members of the choir.
a)How many members of the choir are:
i)men ii) women
iii)children

Respuesta :

Moonlife

Answer:

(i) men = 95 members

(ii) women = 133 members

(iii) Children = 57 members

Step-by-step explanation:

[tex]\Large{\underline{\mathcal{Given }}}[/tex]

  • Ratio of men, women, and Children respectively, 5:7:3.

  • Total members of choir = 285

[tex]\Large{\underline{\mathcal{To\: Find }}}[/tex]

[tex]\sf\:\:\:\:\:\:\:\:\:\:\:\:\bullet\:Number\: of\: members\: of \:the\: choir.[/tex]

[tex]\:[/tex]

[tex]{\large{\frak{\pmb{\underline{So, \:we \:have\: to\: find\: for }}}}}[/tex]

[tex]\:\:\large\mathtt\red{(i)\:men}[/tex] [tex]\:\:\sf = \bf\dfrac{5}{5+7+3}\times 285[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{5}{15}\times 285[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{5\times 285}{15}[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{1425}{15}[/tex]

[tex]\:[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{men=\frak{\green{95\:members}}}}}[/tex]

[tex]\:\:\:\:━━━━━━━━━━━━━━━━━\:[/tex]

[tex]\:[/tex]

[tex]\:\large\mathtt\purple{(ii)\:women}[/tex] [tex]\:\:\sf = \bf\dfrac{7}{5+7+3}\times 285[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{7}{15}\times 285[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{7 \times 285}{15}[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{1995}{15}[/tex]

[tex]\:[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{women=\frak{\red{133\:members}}}}}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:━━━━━━━━━━━━━━━━━━━━\:[/tex]

[tex]\:[/tex]

[tex]\:\normalsize\mathtt\orange{(iii)\: Children}[/tex] [tex]\:\sf = \bf\dfrac{3}{5+7+3}\times 285[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{3}{15}\times 285[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{3 \times 285}{15}[/tex]

[tex]\:[/tex]

[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \rightsquigarrow \bf\dfrac{855}{15}[/tex]

[tex]\:[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{children=\frak{\blue{57\:members}}}}}[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\dag\small{\mathcal{\fcolorbox{#D4E157}{#D4E157}{Moon}\frak{life}}}[/tex]

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