A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in total. There were 10 people in the group. Find the number of adults and kids in the group.

A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids

The answer is Letter B.

(B) 3 Adults and 7 Kids
Explanation:
The first thing we have to do is define variables:
X = adult
Y = kids
Next we will create equations for the information given:
8X + 5Y = 59
X + Y = 10
So to determine the answer we must combine the equations.
X = 10 - Y
8(10 - Y) + 5Y = 59
Distribute the 8
80 -8Y + 5Y = 59
Move the 80 to the other side and combined like terms
-3Y = -21
Divide by -3
Y = 7
Plug Y into an original equation
X + 7 = 10
Subtract 7
X = 3
Double check by plugging both variables into the other original equation
8(3) + 5(7) = 59
24 + 35 = 59
59 = 59
Therefore, there are 3 adults and 7 kids. (B)