Question

Tickets to the zoo cost $14 for adults and $10 for children. A group of 12 people went to the zoo, and the tickets cost $140. The system of equations models this situation, where x is the number of adults and y is the number of children.


x+y=12
14x+10y=140

How many adults and how many children were in the group?

A. 5 adults and 7 children
B. 6 adults and 6 children
C. 7 adults and 5 children
D. 8 adults and 4 children


PLEASE HELP ASAP

Answer 1

my mom said it's either B or C but i think it can also be D so not really sure

Answer 2

Solve the following for a and c.
\[\{14 a+10 c=140,a+c=12\} \]
{a = 5, c = 7}

Answer 3

\[x+y = 12\]
\[14x+10y = 140\]
You make \[[x + y = 12] *10 \] that is \[10x +10y = 120\]
then you do 14x +10y = 140
- (10x +10y = 120)
then you get
4x = 20
x = 5

Answer 4

then x + y = 12
5 + y = 12
y = 7

Answer 5

A?

Answer 6

You can also make
x+y = 12 ----> x = 12 - y
14x + 10y = 144 --> using x = 12 -y
then you get
14(12-y) + 10y = 140
168 -14y +10y = 140
168 - 140 = 14y -10y
28 = 4y
y = 7
Answer is A

Answer 7

Thank you :)

Answer 8

you're welcome

Answer 9

A.