Question

Three adult and three child movie tickets were purchased for $75. The cost of each child ticket. Find the price of each ticket.

An adult ticket is $11 and a child ticket is $8

An adult tickets is $ 12.50 and a child ticket is $9.50

An adult ticket is $14 and a child ticket is $11

An adult ticket is $8 and a child ticket is $5

Answer 1

So which one is it?

Answer 2

To check which option fits the total of $75 for three adult tickets and three child tickets, we will do the math for each pair of prices provided.

1. **Option 1: Adult ticket = $11, Child ticket = $8**
\[
\text{Total cost} = 3 \times 11 + 3 \times 8 = 33 + 24 = 57 \quad (\text{Not } 75)
\]

2. **Option 2: Adult ticket = $12.50, Child ticket = $9.50**
\[
\text{Total cost} = 3 \times 12.50 + 3 \times 9.50 = 37.5 + 28.5 = 66 \quad (\text{Not } 75)
\]

3. **Option 3: Adult ticket = $14, Child ticket = $11**
\[
\text{Total cost} = 3 \times 14 + 3 \times 11 = 42 + 33 = 75 \quad (\text{This is correct})
\]

4. **Option 4: Adult ticket = $8, Child ticket = $5**
\[
\text{Total cost} = 3 \times 8 + 3 \times 5 = 24 + 15 = 39 \quad (\text{Not } 75)
\]

The correct prices for the tickets are:
- Adult ticket = $14
- Child ticket = $11

Answer 3

The correct option is:

**An adult ticket is $14 and a child ticket is $11.**

This combination totals $75 for three adult and three child tickets:

\[
3 \times 14 + 3 \times 11 = 42 + 33 = 75.
\]