Given that the cost of a child ticket is $5 less than the cost of an adult ticket, we can represent the cost of the adult ticket as \( m \). Therefore, the cost of a child ticket can be represented as \( m - 5 \).
Since Mrs. Franks bought 20 child tickets for a total of $180, we can set up the following equation to represent the total cost:
\[ 20(m - 5) = 180 \]
This equation can be solved to find the price of both child and adult tickets.
Step 1: Simplify the equation
Distribute the 20 on the left side:
\[ 20m - 100 = 180 \]
Step 2: Add 100 to both sides
\[ 20m = 280 \]
Step 3: Divide by 20
\[ m = 14 \]
Step 4: Find the cost of a child ticket
The cost of a child ticket is:
\[ m - 5 = 14 - 5 = 9 \]
Final Prices
- Adult ticket price: $14
- Child ticket price: $9
So, the prices are:
- Adult ticket (m): $14
- Child ticket (m - 5): $9
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