Question

Tickets to a movie cost $9 for each adult and $4.50 for each child. Molly purchased 11 tickets for $72.



How many adult and how many child tickets did she purchase?



Molly purchased ___ adult tickets and ___ child tickets.

Answer 1

so this a system of equations. let's make our equations :) i'm gonna let a stand for adult and c for child

we know she bought 11 tickets. so a + c = 11

and we also know she spent a total of $72 and adult tickets cost $9 and child tickets cost $4.50. so 9a + 4.5c = 72

so our system is
a + c = 11
9a + 4.5c = 72

making sense so far?

Answer 2

@kewlkatcutie you need to answer before we can move on. This is an interactive site.

Answer 3

sorry , I was afk

Answer 4

no worries :)

Answer 5

yeah, it makes sense

Answer 6

great. now i'd use the substitution method to solve this. use the first equation to solve for a in terms of c

Answer 7

then substitute that for a in the second equation

Answer 8

then solve for c

Answer 9

Sorry for the late response , but I'm not sure how the substitution method works ?

Answer 10

ok so the first step of the substitution method is to solve for a variable in terms of the other. so we're going to take the first equation, a + c = 11, and solve for a

Answer 11

so a = ?

Answer 12

5 ?

Answer 13

well, i meant in terms of c. so if a + c = 11, then a = 11 - c

Answer 14

then we can substitute 11 - c for a in the second equation.

9a + 4.5c = 72
9(11 - c) + 4.5c = 72

now we can actually solve for c

Answer 15

well i just worked it out all the way, and yes a = 5 :)

Answer 16

Is it 5 adults and 6 children ?

Answer 17

yes. it seems as though you didn't even need help tho lol :P