Question

The ratio of boys to girls in the 9th grade is 5 to 6. There are 312 girls. How many boys are there?

Answer 1

Answer:

Boys:Girls=5:6

Boys:Girls=5:6boys/girls=5/6

Boys:Girls=5:6boys/girls=5/6but the number of girls is 312

Boys:Girls=5:6boys/girls=5/6but the number of girls is 312hence,

Boys:Girls=5:6boys/girls=5/6but the number of girls is 312hence,boys/312=5/6

Boys:Girls=5:6boys/girls=5/6but the number of girls is 312hence,boys/312=5/6b=5/6×312

Boys:Girls=5:6boys/girls=5/6but the number of girls is 312hence,boys/312=5/6b=5/6×3125 ×52

Boys:Girls=5:6boys/girls=5/6but the number of girls is 312hence,boys/312=5/6b=5/6×3125 ×52260

Boys:Girls=5:6boys/girls=5/6but the number of girls is 312hence,boys/312=5/6b=5/6×3125 ×52260hence the number of boys is 260

Step-by-step explanation:

i hope it helped you

Answer 2

Given :-

• Ratio of boys to girls = 5:6

• Number of girls = 312.

To Find:-

• The number of boys.

SoLuTioN:-

• Let the number of boys and number of girls be 5x and 6x.

Now ,

━━━━━━━━━━━━━

Number of girls =312

6x = 312

Now,

⇒ 6x = 312

⇒ x = 312/6

⇒ x = 52

The number of boys is (5 × 52) = 260

To verify:-

$We$ have,

• Number of boys = 260
• Number of girls = 312

↠ Ratio of boys to girls :

⇒ 260/ 312 =5:6

⇒ 5 /6 = 5:6

⇒ 5:6 = 5:6

LHS = RHS

Hence It Proved !

━━━━━━━━━━━━