Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic expression to represent the number of girls in the auditorium.

Answer: The number of girls in the auditorium is represented by the algebraic expression y = (4x + 72) / 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Number of boys added: 18 Ratio of boys to girls: 5:4

So, the total number of boys is:

x + 18

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) / y = 5/4

Solving for "y"

4 (x + 18) = 5 y

4x + 72 = 5y

(4x + 72) / 5 = y

The number of girls in the auditorium is represented by the algebraic expression y = (4x + 72) / 5