Answer: the number of $3 ticket that were sold is 72
the number of $8 ticket that were sold is 154
Step-by-step explanation:
Let x represent the number of $3 ticket that were sold.
Let y represent the number of $8 ticket that were sold.
The band members sold tickets to their concert performance. Some were $3 tickets, and some were $8 tickets. The total sales were $1,448. It means that
3x + 8y = 1448- - - - - - - - - -- - - -1
There were 10 more than twice as many $8 tickets sold as $3 tickets. It means that
y = 2x + 10
Substituting y = 2x + 10 into equation 1, it becomes
3x + 8(2x + 10) = 1448
3x + 16x + 80 = 1448
19x = 1448 - 80 = 1368
x = 1368/19
x = 72
y = 2x + 10 = 2 × 72 + 10
y = 154
