Question

To help pay for the next school event, Terry and Tony want to make a

Answer 1

a) Equation: $Nx=475$

b)

1st case: 119 tickets

2nd case: 106 tickets

3rd case: 95 tickets

Step-by-step explanation:

a)

Terry and Tony want to make a profit of

P = $475

in total from the ticket sale.

Here we call $x$ the price per ticket.

Then we also call $N$ the number of tickets sold: therefore, this total profit made by Terry and Tony from the ticket sale is the product between the tickets sold, N, and the price per ticket, x:

$Nx$

And since they want to do a profit of P = $475, we can therefore write

$Nx=475$

b)

The equation of part a) can be re-arranged as

$N=\frac{475}{x}$

where N is the number of tickets sold and x the price per ticket.

The 1st group of student want to charge  $4.00 per ticket, so

x = 4.00

And so the number of tickets that they should sell in this case is

$N=\frac{475}{4.00}=118.8 \sim 119$

The 2nd group of student want to charge  $4.50 per ticket, so

x = 4.50

And so the number of tickets that they should sell in this case is

$N=\frac{475}{4.50}=105.6 \sim 106$

Terry and Tony want to charge $5.00 per ticket, so

x = 5.00

And so the number of tickets that they should sell in this case is

$N=\frac{475}{5.00}=95$

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