Question

together, steve and tom sold 113 raffle tickets for their school. steve sold 13 more than three times as many raffle tickets as tom. how many raffle tickets did each boy sell? how many tickets did tom sell?

Explanation:

Step1: Define variables

Let $x$ = number of tickets Tom sold. Then Steve sold $3x + 13$ tickets.

Step2: Set up total tickets equation

$x + (3x + 13) = 113$

Step3: Simplify the equation

$4x + 13 = 113$

Step4: Isolate the variable term

$4x = 113 - 13$
$4x = 100$

Step5: Solve for $x$

$x = \frac{100}{4}$
$x = 25$

Step6: Find Steve's tickets

Steve's tickets: $3(25) + 13 = 75 + 13 = 88$

Answer:

Tom sold 25 tickets, Steve sold 88 tickets.
The number of tickets Tom sold is $\boldsymbol{25}$.