Question

I really need help!!!My homework is due today!!!

Heather took her son Trevor and some of his friends to the movies.The tickets cost a total of $38.50.If an adult ticket cost $9.50 and a child ticket cost $7.25,how many friends did Trevor take with him to the movies?

Answer 1

There isn't much we can do with this information, we'll have to go through a bit of trial and error.

We can estimate an upper bound for the number of both tickets though: since

`38.5 / 9.5\approx 4.05,\quad 38.5/ 7.25\approx 5.31`

We know that the maximum number of adult tickets is 4, and the maximum number of child ticket is 5.

We also know that the number of child ticket must be even, otherwise the total price would have a 5 in the hundredths place.

So, the possible combinations are

`\begin{array}c\text{adult}&\text{child}\\1&2\\1&4\\2&2\\2&4\\3&2\\3&4\\4&2\\4&4\end{array}`

Simulate all those scenarios and you'll find out that one adult ticket and 4 child tickets will sum up to the required amount:

`9.50+4\cdot 7.25=38.5`

Answer 2

he took 4 of his friends to the movies

Explanation:

by adding 9.50+7.25+7.25+7.25+7.25