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The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Jordans paid a total of $69 for 2 adult tickets and 1 child's ticket to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket. :

69 = x + one-half(x - 6)

What is the regular price of a child's ticket?

$38

$42

$48

$66

math
 Aug 11, 2014

Best Answer 

 #1
avatar+118723 
+10

This is a tricky one maria,

69 = half of 2 adult tickets + half of 1 child's ticket

69 = 1 adult tickets + half of 1 child's ticket

Let the adults ticket be x dollars

The child ticket is 6 dollars less so that would be x-6

so

$$\\69 = x + \frac{1}{2}(x-6)\\\\
\mbox{multiply both sides by 2}\\\\
138=2x+(x-6)\\
138=2x+x-6\\
138=3x-6\\
144=3x\\
x=48 \qquad \mbox{Price of full adult ticket}\\
Child =48-6=\$42$$

NOTE TO MARIA379

Your questions include pictures that do not display on my computer.  Can you insert whatever these are by hand please?

 Aug 12, 2014
 #1
avatar+118723 
+10
Best Answer

This is a tricky one maria,

69 = half of 2 adult tickets + half of 1 child's ticket

69 = 1 adult tickets + half of 1 child's ticket

Let the adults ticket be x dollars

The child ticket is 6 dollars less so that would be x-6

so

$$\\69 = x + \frac{1}{2}(x-6)\\\\
\mbox{multiply both sides by 2}\\\\
138=2x+(x-6)\\
138=2x+x-6\\
138=3x-6\\
144=3x\\
x=48 \qquad \mbox{Price of full adult ticket}\\
Child =48-6=\$42$$

NOTE TO MARIA379

Your questions include pictures that do not display on my computer.  Can you insert whatever these are by hand please?

Melody Aug 12, 2014

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