6. The ticket price of Miffy Wonderland is $400. During a promotion in the year of the 65th Anniversary of Miffy, the ticket price is decreased by p%. Boris has invited three friends to go to Miffy Wonderland with him and
they spend $1504 to buy the tickets. Find the value of p.

Given data:

Ticket price = 400
Decrease in price = p%
Number of people = 3
Money spent = 1504

P% can be written as p/100

New ticket price = 400 - (400 x p/100)

Money spent = New ticket price x no. of people

1504 = [400 - (400 x p/100)] x 3

Taking 3 on the other side

1504/3 = 400 - (400 x p/100)

Taking 400 on other side

1504/3 - 400 = 400 x p/100

Can be written as (400/100)*p

101.333333333 = (400/100)*p

Taking (400/100) on other side, taking reciprocal.

101.333333333 x 100/400 = p

25.3333333332 = p

Rounding to two decimal place

p = 25.33

The ticket price decreases by 25.33%.