Question

ticket prices for 3D movies are $10 for a child and $15 for an adult one of those spent $55 to take a group of children to the movies right and solve an equation to find how many children went to the movies show your work

Answer 1

An adult spent $55 for a movie outing, with child tickets priced at $10. After deducting the price of an adult ticket ($15), it is deduced that the adult took 4 children to the movies as $40 divides evenly by the price of a child's ticket.

Step-by-step explanation:

How Many Children Went to the Movies?

We are given that the price for a child's 3D movie ticket is $10 and an adult has spent $55 in total for a group of children. To find out how many children went to the movies, we can write an equation where the number of children is represented by the variable c.

The equation will be:

10c = 55

To solve for c, we divide both sides of the equation by the price of one child's ticket, which is 10:

c = 55 ÷ 10

c = 5.5

Since we cannot have half a child, we need to ensure our initial assumption that only children's tickets were purchased is correct. Since only full tickets can be purchased, and we have an odd total spending that's not an exact multiple of the child ticket price, this suggests that our initial assumption is incorrect. Therefore, we should consider the possibility that an adult's ticket may have also been purchased. We know adult tickets cost $15.

If we subtract the cost of one adult's ticket from the total, we can find the remaining amount spent on children's tickets:

Total cost - Cost of one adult ticket = Cost for children's tickets

55 - 15 = 40

Now we try dividing the remaining cost by the price of one child's ticket once again:

c = 40 ÷ 10

c = 4

This means that the adult took 4 children to the movies, and the total cost was $55 including one adult ticket.

Answer 2

The group that went to the movies was 1 adult and x children.

Each adult ticket costs $15 and each child ticket costs $10

The total cost of the tickets can be representd as C

C=15y+10x

Where y is the number of adults tickets brought.

So for C=$55 and y=1 the total cost can be calculated as:

`55=15+10x`

From this expression you can calculate the number of children tickets bought

`\begin{gathered} 55-15=10x \\ 40=10x \\ (40)/(10)=(10x)/(10) \\ 4=x \end{gathered}`

4 children went to the movies.