Two families go to the cinema.
the smith family buy tickets for one adult and four children
and pay £19
the jones family buy tickets for two adults and two children
and pay £17
what is the cost of one child’s ticket?

Step-by-step explanation:

x= cost of 1 adult ticket

y=cost of 1 kid ticket

so 1 adult+4 childeren=x+4y=19

2 adults and 2 childern=2x+2y=17

elimination

x+4y=19

2x+2y=17

multiply firest equation by -2

-2x-8y=-38

add to first equatuion

-2x-8y=-38

2x+2y=17 +

0x-6y=21

-6y=-21

multiply -2

6y=21

divide by 6

y=21/6=7/2

subsitute

2x+2y=17

2x+2(7/2)=17

2x+14/2=17

2x+7=17

subtract 7 from both sides

2x=10

divide by 2

x=5

1 adult ticket costs £5

1 kid ticket costs £7/2 or £3 and 1/2 or £3.5

hope this helps and give me brainliest pls

step-by-step explanation:

i could only see the first page. the other pages were blurry. ; -;

x hot dogs for 2$, y drinks for 3$. 29 items and total 70

2x+3y=70

x+y=29

if x=17and y=12

2(17)+3(12)=70

34+36=70