Mathematics: 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

1. 4x^2+ 6x +5782. 44x^2+7+21Step-by-step explanation:...

A Choir is made up of men, women and children

Ответ:

fredvales19

25.04.2021

Mathematics

(i) men = 95 members

(ii) women = 133 members

(iii) Children = 57 members

Step-by-step explanation:

Given

Ratio of men, women, and Children respectively, 5:7:3.Total members of choir =285

To Find

Numbers of member of the choir.

So, we have to find for

$\huge\mathtt\red{(i)\:men}$ $\sf \bf\dfrac{5}{5+7+3}\times 285[\tex][tex]\sf \bf\dfrac{5}{15}\times 285[\tex][tex]\sf \bf\dfrac{5\times 285}{15}[\tex][tex]\sf \bf\dfrac{1425}{15}[\tex][tex]\underline{\boxed{\sf{men=\frak{\red{95\:members}}}}}$

$\:$

$\huge\mathtt\red{(ii)\:women}$ $\sf \bf\dfrac{7}{5+7+3}\times 285[\tex][tex]\sf \bf\dfrac{7}{15}\times 285[\tex][tex]\sf \bf\dfrac{7 \times 285}{15}[\tex][tex]\sf \bf\dfrac{9995}{15}[\tex][tex]\underline{\boxed{\sf{women=\frak{\red{133\:members}}}}}$

$\huge\mathtt\red{(iii)\: Children}$ $\sf \bf\dfrac{3}{5+7+3}\times 285[\tex][tex]\sf \bf\dfrac{3}{15}\times 285[\tex][tex]\sf \bf\dfrac{3 \times 285}{15}[\tex][tex]\sf \bf\dfrac{855}{15}[\tex][tex]\underline{\boxed{\sf{women=\frak{\red{57\:members}}}}}$

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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

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