Question

The ratio of boys to girls in a junior band is 4:5. The band
has 63 members. The number of boys and the number of
girls in the band would be (a) 16 boys and 47 girls
(b) 20 boys and 43 girls
(c) 24 boys and 39 girls
(d) 28 boys and 35 girls
(e) 35 boys and 43 girls ​

Answer 1

Gɪᴠᴇɴ :

• Ratio of boys to girls = 4:5
• The band has = 63 members

Tᴏ ғɪɴᴅ :

• The number of boys and girls

Sᴏʟᴜᴛɪᴏɴ :

• Let, the number of boys be 4x and girls be 5x
• Given: the band has 63 members

So, the number of girls + number of boys = total number of band

:$\implies\sf{4x + 5x = 63}$

:$\implies\sf{9x = 63}$

:$\implies\sf{x = \frac{63}{9}}$

:$\implies\sf{x = \frac{\cancel{63}}{\cancel{9}}}$

:$\implies\sf{7}$

$\rule{150}1$

Now, the boys = 4$\sf{\cancel{x}}$

Boys = 4 × 7 = 28

Now, the girls = 5$\sf{\cancel{x}}$

Girls = 5 × 7 = 35

Hence, boys are 28 and girls are 35

Hence, the correct option is D (28 boys and 35 girls)

Answer 2

$\huge\bold{\underline{\underline{{Question:}}}}$

◾️The ratio of boys to girls in a junior band is 4:5. The band has 63 members. The number of boys and the number of girls in the band would be

• 16 boys and 47 girls
• 20 boys and 43 girls
• 24 boys and 39 girls
• 28 boys and 35 girls
• 35 boys and 43 girls

$\huge\bold{\underline{\underline{{Answer:}}}}$

$\large{\boxed{\red{d)\: 28\:boys\:and\:35\:girls}}}$

$\rule{400}4$

$\large\bold{\underline{Explanation:}}$

$\displaystyle{\sf{Let\:the\:number\:of\:boys\:and\:girls\:be\:4x\:and\:5x.}}$

$\displaystyle{\sf{According\:to\:the\:question,}}$$\displaystyle{\sf{No.\:of\:boys+No.\:of\:girls=total\:no.}}$$\displaystyle{\sf{of\:members.}}$

:$\implies$$\displaystyle{\sf{4x\:+\:5x\:=\:63}}$

:$\implies$$\displaystyle{\sf{9x\:=\:63}}$

:$\implies$$\displaystyle{\sf{x\:=\ \frac{\cancel{63}}{\cancel{9}}}}$

:$\implies$$\displaystyle{\sf{x\:=\:7}}$

${\underline{\rule{400}2}}$

$\displaystyle{\sf{hence,\:the\:number\:of\:boys\:are\:4×7\:=\:28}}$

$\displaystyle{\sf{and\:the\:number\:of\:girls\:are\:5×7\:=\:35}}$

$\rule{400}4$