Question

Heather's family bought tickets at a local carnival. Her brother took one-third the number of tickets that her cousin took, which was half the number Heather took. If her brother took 5 tickets, how many tickets did Heather take?

fifteen

thirty

forty

forty-five

Answer 1

@bahrom7893 can you help me

Answer 2

Let x be the number of the total tickets bought.
Let y be the number of the tickets that Heather took.

Answer 3

@bahrom7893 ok

Answer 4

This means that Heather's cousin, which took half the number Heather took, took:
(y/2) tickets => Heather had y tickets, her brother had half of that amount, hence y/2. So far so good?

Answer 5

we got little mermaid and dopey ...what a pair

Answer 6

@dumbcow lol

Answer 7

hahahahah.. Anyway, Juliette, so far so good?

Answer 8

@bahrom7893 yes

Answer 9

So now we know that:
There are x tickets in total.
Heather has y tickets.
Her cousin has (y/2) tickets.
Her brother has (1/3) of the amount of tickets that her cousin has, so her brother has:
(1/3)*(y/2).

Answer 10

So now we have:
x - total
y - Heather
y/2 - cousin
y/6 - brother. And we also know that her brother took 5 tickets, so:
y/6 = 5

Answer 11

Yes

Answer 12

6*y/6 = 6*5 = > y = 30

Answer 13

@bahrom7893 thank you!

Answer 14

And since y was the number of tickets Heather had, she has 30 tickets.