Test Paper Problem Question. Can You Help?

[11Eleven2017]

Hi.. have seem this type of question on several test papers. Not sure how to explain to DC how to approach it. Can you help?
Find the price of the adult/child ticket.
1 adult, 4 children go to fairground. Total cost £64. Child ticket is 25% less than adult ticket. What are their respective ticket prices.

[catslife]

25 % is a quarter 1/4 so 4 children are the same as one adult.
The cost for 1 adult and 4 children is therefore the same as 2 adults.
£64 divided by 2 is £32 so the adult ticket costs £32.
£32 divided by 4 is £8 so the cost of a child ticket is £8.

[nocampinghere]

Child ticket is 25% less

not 25% of the adult's ticket

[Heratnumber7]

Child ticket is 75%
Adult ticket is 100%

(4 x 75) + 100 = 400

64÷400 x 75 = 12 (child)

4 x 12 = 48

64 - 48 = 16 (adult)

[MsAwesomeDragon]

Each child costs 75% or 3/4 of the price of an adult. So 4x75% =300% which is the same as 3 adults.
So 1 adult and 4 kids is the same price as 4 adults.
Divide the 64 by 4=16, so one adult is £16.
Then reduce the £16 by 25% giving £12 for a child.

[partystress]

Each child is paying 75% of the adult price, ie 3/4. 4 lots of 3/4 = 3. So the four children are paying the same as 3 adults. Add in the actual adult and the £64 is the cost of 4 adult tickets. 1 adult must cost £16 and each child £12.

[partystress]

Dang those slow fingers!

[tygr]

I did it this way

Child ticket is 3/4 of adult ticket.

So, if adult ticket is 4X, child ticket is 3X

4X + 3X + 3X + 3X + 3X = 64

16X = 64

X = 4

Therefore adult ticket, 4X = 16

Child ticket, 3X = 12

[BestIsWest]

The cost for a child ticket is 75% of an adult ticket.
Four children's tickets therefore add up to 300% of an Adults ticket, therefore the equivalent of 3 adults.

Add that to the existing adult and divide into 64 (64/4) =16

So £16 per adult and £12 per child (3/4 of £16)

[TheFrendo]

25% ie equivalent to 1/4
After a discount, the four children each pay 3/4 of an adult ticket.
3/4 + 3/4 + 3/4 +3/4 is 3.

So, an equivalent of 4 adult tickets were bought.
64 / 4 = 16
3/4 of 16 = 12

[tygr]

Again using algebra, you could also do it this way (which is exactly what all the other posters have said, just shoving the letters for unknowns in)

3/4 A = C (where A is an adult ticket and C is a child)

A + 4C = 64

A + 4(3/4A) = 64

A + 3A = 64

4A = 64

A = 64/4 = 16

So, if C = 3/4A

C = 3/4 x 16

C = 12

[nocampinghere]

£64 /5 tickets = £12.80
how is this relevant?

[nocampinghere]

ah see you've deleted.

[ilovegreen]

Aren't most papers multiple choice these days? If it were the case you could eliminate the obviously wrong ones and then try adding up the others to see which one works.

[lougle]

I approached it:

Child ticket (c) is 3/4 of adult ticket (a)

1a + 4c = £64
1a + 4c = 1a + 4×(3/4a) = 1a + 3a = 4a
》4a = £64; a = £16

c = 3/4a = £48/4 = £12

Adult tickets are £16; Child tickets are £12.

[11Eleven2017]

Absolutely love mumsnet... ask a question and get so many lovely helpful responses... GREAT! Thanks guys x

[nocampinghere]

that is bloody hard for a 10/11 year old though!
(or for a 42 year old with GCSE A maths!)

[nocampinghere]

if it was 1 adult and 4 child tickets, a child ticket is 25% of the cost of an adult ticket. Total cost £64 - what are the costs of each ticket? Even that would be tricky though doable. these kids are going into secondary almost ready for GCSE maths .