There are 2 types of tickets to attend an awards dinner—silver and gold. The gold tickets are $8 more than the silver. If Patrick bought 10 tickets at each level and spent a total of $140, find the price of each ticket.(1 point

Answer 1

Let the price of the silver ticket be \( x \). Then, the price of the gold ticket would be \( x + 8 \).

Patrick bought 10 silver tickets and 10 gold tickets, spending a total of $140. We can set up the following equation based on this information:

\[ 10x + 10(x + 8) = 140 \]

Now, simplify the equation:

\[ 10x + 10x + 80 = 140 \] \[ 20x + 80 = 140 \]

Subtract 80 from both sides:

\[ 20x = 60 \]

Now, divide by 20:

\[ x = 3 \]

So, the price of the silver ticket is \( x = 3 \).

To find the price of the gold ticket:

\[ x + 8 = 3 + 8 = 11 \]

Thus, the prices of the tickets are:

• Silver ticket: $3
• Gold ticket: $11