A ticket booth sold 486 tickets and collected $2416.50 in ticket sales. Adult tickets are $5.50 and child tickets are $4. How many tickets of each type
were sold?

171

Step-by-step explanation:

Step 1: Let "x" and "y" be the variables

Let x = the number of adult tickets sold

Let y = the number of child tickets sold

Step 2: Add the variables and subtract the "x" variable

x + y = 486    y = 486 - x

Step 3: Add the given amounts by the variables next to it to equal the total

5.50x + 4y = 2416.50

5.50x + 4(486 - x) = 2416.50

5.50x + 1944 - 4x = 2416.50

Step 4: Subtracting the result from the number of tickets the booth sold

1.5x = 472.5

x = 315

y = 486 - 315 = 171

Therefore, there are 171 tickets of each type sold.

171

Step-by-step explanation:

Step 1: Let "x" and "y" be the variables

Let x = the number of adult tickets sold

Let y = the number of child tickets sold

Step 2: Add the variables and subtract the "x" variable

x + y = 486    y = 486 - x

Step 3: Add the given amounts by the variables next to it to equal the total

5.50x + 4y = 2416.50

5.50x + 4(486 - x) = 2416.50

5.50x + 1944 - 4x = 2416.50

Step 4: Subtracting the result from the number of tickets the booth sold

1.5x = 472.5

x = 315

y = 486 - 315 = 171

Therefore, there are 171 tickets of each type sold.

Step-by-step explanation: