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The ticket price for the movies is $7.50 for children and $10.50 for adults. One night 825 people bought tickets and $8005.50 was collected from ticket sales. How many children and how many adults bought tickets? (I need a equation pls)

Respuesta :

Answer:

so let a=adults tickdts and c=children tickets

7a+4c=68

sincr it was 14 ppl,

let a+c=14

so, system of equations.

multiply a+c= 14 all by 4 to get

4a+4c=56 subtract this from the other

7a+4c=68

-3a=-12

a=4

plug in to either. for a

4+c=14

c=10

plug into other equation to check.

7(4)+4(10)=68

28+40=68

c=children tickets

7a+4c=68

sincr it was 14 ppl,

let a+c=14

so, system of equations.

multiply a+c= 14 all by 4 to get

4a+4c=56 subtract this from the other

7a+4c=68

-3a=-12

a=4

plug in to either. for a

4+c=14

c=10

plug into other equation to check.

7(4)+4(10)=68

28+40=68

The number of children and adult tickets bought for the movies are 219 and 606 tickets respectively.

How to form system of equation from word expression?

The tickets price for the movies is $7.50 for children and $10.50 for adults.

One night 825 people bought tickets and $8005.50 was made.

Therefore,

let

x = number of children ticket sold

y = number of adult ticket sold

x + y = 825

7.50x + 10.50y = 8005.50

Therefore,

7.50x + 7.50y = 6187.5

7.50x + 10.50y = 8005.50

3y = 1818

y = 1818 / 3

y = 606

Therefore,

x = 825 - 606

x = 219

learn more on equation here: https://brainly.com/question/1772026

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