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 + (x - 6)
What is the regular price of a child's ticket?
$38
$42
$48
$66
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?
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?