Question

Ratio of male and female is 4:3 participate in a party. Ratio becomes reciprocal
if 42 more females joins the party. How many peoples participate in party?
1 130
2 126
3 105
4 168​

Answer 1

Total people participated in party = 72 + 54 = 126

Step-by-step explanation:

Give:-

• Ratio of male and female = 4 : 3
• Ratio becomes reciprocal if 42 more females joins the part.

To Find:-

• How many peoples participate in party?

$\huge{{{ \color{magenta}{ \mathfrak{ ★solution :}}}}}$

$Ratio \: of \: male \: and \: female = 4 : 3 \\ \\ let \: total \: numbers \: of \: male = 4x \\ \\ let \: total \: numbers \: of \: female = 3x \\ \\ according \: to \: question \\ \\ = = > \: \: \: 4x : 3x + 42 = 3 : 4 \\ \\ = = > \: \: \: \frac{4x}{3x + 42} = \frac{3}{4} \\ \\ = = > \: \: \: 4x \times 4 = 3 \times (3x + 42) \\ \\ = = > \: \: \: 16x = 9x + 126 \\ \\ = = > \: \: \: 16x - 9x = 126 \\ \\ = = > \: \: \: 7x = 126 \\ \\ = = > \: \: \: x = \frac{126}{7} \\ \\ = = > x = 18$

-----------------------------------------

$Therefore,\: Number \: of \: Males = 4x \\ \\ = = > \: \: \: = 4 \times 18 = 72 \\ \\ number \: of \: females = 3x \\ \\ = = > \: \: \: = 3 \times 18 = 54$

-----------------------------------------

Male = 72 , Female= 54

.

Total people participated in party = 72 + 54 = 126

.

.

$\huge\bold{\mathtt{\purple{ H{\pink{ o{\green{ p{\blue{ e{\red{ .{\orange{ i{\purple{ t{\pink{ s{\green{ .{\blue{ H{\red{ e{\purple{ l{\pink{ p{\green{ .{\blue{ U}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$