Choose the system of linear inequalities that represent the given scenario. Let a represent the number of adult tickets and let c represent the number of children tickets.

There were up to 1,200 tickets available for the spring carnival. Adult tickets cost $6.00 and children’s tickets cost $3.50. How many tickets of each could be sold to make at least $6,450?

Question

Choose the system of linear inequalities that represent the given scenario. Let a represent the number of adult tickets and let c represent the number of children tickets.

There were up to 1,200 tickets available for the spring carnival. Adult tickets cost $6.00 and children’s tickets cost $3.50. How many tickets of each could be sold to make at least $6,450?

anonymous · Answer

Please help I missed this question.

aum · Answer

"up to 1,200 tickets"  translates to "less than or equal to 1,200".
If you add the number of adult and children tickets sold it should be $\le 1200$.

$a + c \le 1200$    ------ (1)

Each adult ticket costs $6.  'a' adult tickets will cost $6 * a.
Each child's ticket costs $3.50.  'c' children tickets will cost $3.50 * c
Total sales = 6a + 3.5c

"make at least $6,450" means total sales must be "greater than equal to $6,450"

$6a + 3.5c \ge 6450$   ------ (2)

Those are the two inequalities.

anonymous · Answer

Thanks :)

aum · Answer

You are welcome.