Question

In a birthday party the ratio of children to the adults is 7 : 5. if there are 72 children and adults in total, then the number of children are​

Answer 1

refer above attachment

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Answer 2

$\huge{ \blue{ \mathfrak{ \underline{Given: }}}}$

• Ratio of children and adults = 7:5
• Total people = 72

$\huge{ \blue{ \mathfrak{ \underline{To \: find : }}}}$

• Number of children

$\huge{ \blue{ \mathfrak{ \underline{ Solution:}}}}$

Put x in the ratio,

• Number of children = 7x
• Number of adults = 5x

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: 7x + 5x = 72}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \:12x = 72}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \:x = \frac{72}{12}}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \:x = 6}$

Now:

• Number of children = 7x = 42

$\huge{ \blue{ \mathfrak{ \underline{Hence: }}}}$

• The number of children are 42.