Question

Please show the problem as a proportion along with work.

Answer 1

Answer:

x=18

y=24

Step-by-step explanation:

Let the number of boys in the camp = x

Number of girls = y

$\frac{x}{y}=\frac{3}{4}\\x=\frac{3y}{4}$ -----(A)

Total number of students = 42

x+y=42

Putting value of x from A

$\frac{3y}{4}+y=42\\\frac{3y+4y}{4}=42\\\frac{7y}{4}=42\\y=\frac{42 \times 4}{7}\\y=24$

Putting this value in A and solving for x

$x=\frac{3 \times 24}{4}\\x=18$