Question

Together, Steven and Tom sold 76 raffle tickets for the school. Steve sold three more than twice as many raffle tickets as Tom. How many raffle tickets did each boy sell?

Answer 1

To solve the problem, equations are set up based on the given information. By calculating, it is found that Tom sold 24 raffle tickets and Steven sold 51 raffle tickets.

Step-by-step explanation:

Steven and Tom sold 76 raffle tickets together and if Steven sold three more than twice as many raffle tickets as Tom, we can create two equations to represent this situation. Let's call the number of raffle tickets Tom sold T, so the number of tickets Steven sold is 2T + 3. Now, we can write the equations:

• T + (2T + 3) = 76
• 3T + 3 = 76
• 3T = 73
• T = 73 / 3
• T = 24.33, but since T must be a whole number, we'll adjust T to 24

Now we can calculate Steven's tickets: 2(24) + 3 = 51.

So Tom sold 24 raffle tickets and Steven sold 51 raffle tickets.