Answer:
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ second \ is \ correct .}}}[/tex]
Step-by-step explanation:
Given that , a group of 10 people went to see a movie. The cost to go to the movie is $8 for an adult and $5 for a child. The total cost for thegroup was $59.
Let :-
[tex]\implies \bf No. \ of \ adult \ be \ denoted \ by \ a. \\\\\bf \implies No . \ of \ Children \ be \ denoted \ by \ c . [/tex]
Since the total number of people in group is 10 . Then ,
[tex]\implies \bf n_{adult} + n_{children} = 10 \\\\\bf\implies \boxed{\bf a + c = 10 }[/tex]
Now , the cost for an adult is $8 and for a child is $5. Hence ,
[tex]\bf\implies n_{adult}\times cost_{adult} + n_{child}\times cost_{child} = Total \ cost \\\\\bf \implies a \times \$ 8 + c \times \$ 5 = \$ 59 \\\\\bf\implies \boxed{\bf 8a + 5c =\$ 59 }[/tex]
Hence our overall answer matches with second option .That is ,
[tex]\red{\bf Option \ 2 } \begin{cases} \bf a + c = 10 \\\\\bf 8a + 5c = 59 \end{cases}[/tex]
Hence second option is correct .
