Question

Jays art class raises $300 to pay for a trip to a local museum. The bus costs $90, and admission is $6 per student. Jay writes an expression for the amount the club has left based on the number of students who go to the museum. If x is the number of students who go to the museum, the amount remaining is 300-90-6x.Answer A,B,C

Answer 1

we can write an equation

$A=90+6x$

Where A is the total amount and x the number of students.

here we can replace the number of students to calculate the amount

8a)

x=28

$\begin{gathered} A=90+6(28) \\ A=258 \end{gathered}$

x=29

$\begin{gathered} A=90+6(29) \\ A=264 \end{gathered}$

x=30

$\begin{gathered} A=90+6(30) \\ A=270 \end{gathered}$

8b)

if we want to calculate the number of students we must replace the amount

A=300 and solve x

$\begin{gathered} 300=90+6x \\ 6x=300-90 \\ x=\frac{210}{6} \\ x=35 \end{gathered}$

so 35 students can go

8c)

the price for each one is the one that accompanies the x, if we change it would stay like this

$300-90-8x$