Final answer:
The price of the adult meal is $12 and the total amount spent on the meals for the group is $72.
Step-by-step explanation:
To find the price of the adult meal, let's assume the price of the adult meal as 'x'.
According to the given information, the child's meal is half the price of an adult meal. So, the price of the child's meal would be 'x/2'.
Now, we can set up the equation using the given total cost of meals:
2(x/2) + 5x = 144.
Solving this equation, we get x = $12. Thus, the price of the adult meal is $12.
To find the total amount spent on the meals, we can substitute the value of x in the equation. So, the total amount spent is
2(x/2) + 5x = 2(12/2) + 5(12)
= $12 + $60
= $72.