Answer: (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)
