Question

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

twenty

thirty

forty

sixty

Answer 1

heather bought say \(n\) tickets, the her cousin bought \(\frac{1}{3}n\) tickets

Answer 2

Thats clear to me.

Answer 3

her brother bought have of the amount her cousin bought i.e. \[\frac{1}{2}\times \frac{1}{3}n=\frac{1}{6}n\]

Answer 4

Yes.

Answer 5

since her brother bought \(10\) tickets you know
\[\frac{1}{6}n=10\]

Answer 6

yes so I divided that on a calculator which is 1.666666667

Answer 7

you good from there?

Answer 8

oh no

Answer 9

so \(n=6\times 10=60\)

Answer 10

ok well im good

Answer 11

Oh ok

Answer 12

if one sixth of a number is ten, that number must be sixty

Answer 13

@satellite73 yes so now..

Answer 14

@satellite73 thank you so much