Question

A show is on Friday, Saturday and Sunday

2/5 of the total tickets are sold for the Saturday show
240 tickets are sold for the Saturday show
Three times as many tickets are sold for the Sunday show as for the Friday show
How many tickets are sold for the Sunday show
(GCSE Question) please give an explanation

Answer 1

270 tickets are sold for the Sunday show.

Explanation:

Answer 2

270 tickets are sold for the Sunday show.

Explanation:

Given:

Two-fifth of the total tickets are sold for the Saturday show.

Tickets sold for the Saturday show = 240

Three times as many tickets are sold for the Sunday show as for the Friday show. This means that tickets sold for Sunday show is three times that for Friday.

Let the tickets sold for Friday show be 'x'. Therefore, tickets sold for the Sunday show is given as 3 times of 'x' =
`3x`

Total tickets sold = Sum of all tickets sold on Friday, Saturday and Sunday.

Total tickets sold =
`x+3x+240`

Total tickets sold =
`4x+240`

Now, as per question, two-fifth of the total tickets are sold for Saturday show and ticket sold on Saturday is 240. So,

`(2)/(5)*(4x+240)=240\\\\8x+480=240*5\\\\8x=1200-480\\\\8x=720\\\\x=(720)/(8)=90`

Therefore, tickets sold for the Sunday show =
`3x=3*90=270`

Hence, 270 tickets are sold for the Sunday show.