Answer:
Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.
Step-by-step explanation:
You can solve this question by coming up with equations for each friend and then substituting them into the equation M + J + A = 296
Jade sells 8 more tickets than Mia, so Jade's equation for how many tickets she sold is the amount of tickets that Mia sold + 8:
J = M + 8
Amelia sells twice as many tickets as Mia, so her equation is the amount of tickets Mia sold * 2:
A = 2 * M
Now we can substitute these equations into the overall one.
M + (M + 8) + (2M) = 296
Now we can combine like terms and solve for M.
2M + 8 + 2M = 296
4M + 8 = 296
4M = 288
M = 72
We now have the amount of tickets Mia sold, so we can insert this number into the equations for Amelia and Jade.
J = M + 8
J = 72 + 8
J = 80
A = M * 2
A = 72 * 2
A = 144
So Mia sold 72 tickets, Jade sold 80 tickets, and Amelia sold 144 tickets.
