Given that Joe sells twice as many $10 tickets as Sue and Sue sells three times as many $5 tickets as Joe and we need to find How many tickets did Joe sell? (tickets only come in $10 or $5)Let $10 tickets sold by Sue be x
=> $10 tickets sold by Joe = twice as many = 2x
Let $5 tickets sold by Joe = y
=> $5 tickets sold by Sue = three times = 3y
Tickets sold by Joe = 2x + y (we need to find this!)
STAT 1: Sue sold a total of 35 tickets.=> x + 3y = 35
We can't find the value of x + 2y from this
=>
NOT SUFFICIENTSTAT 2: Together Joe and Sue sold 70 tickets for $500.Total tickets sold = 70
=> 2x + y + x + 3y = 70
=> 3x + 4y = 70 ...(1)
Tickets sold worth $500
=> $5 tickets price + $10 tickets price = $500
=> $5*(y + 3y) + $10*(x+2x) = $500
=> 4y + 6x = 100
=> 2y + 3x = 50
=> 3x + 2y = 50..(2)
We have two equation and two variables to solve for which is
SUFFICIENT to answer.
We can mark B as answer and move on.
I am solving to complete the problem
Adding (1) and (2) we get
6x + 6y = 120
=> x + y = 20
=> 2x + 2y = 40 ...(3)
(1) - (3) we get
x + 2y = 30
So,
Answer will be BHope it helps!