The admission fee for a charity event is $7 for children and $10 for adults. The event was attended by 700 people, and the total amount collected in admissions was $6,400. There were(blank) children and (blank)adults at the show.

Respuesta :

7x+10y=6400
x+y=700
x=700-y
7(700-y)+10y=6400
4900-7y+10y=6400
-7y+10y=1500
3y=1500
y=500
x=700-y
x=700-500
x=200
there were 200 children and 500 adults at the show

Number of adult and Number of child is 500 and 200.

Given that;

Cost of child ticket = $7

Cost of adult ticket = $10

Number of people = 700

Total amount get = $6,400

Find:

Number of child and adult

Computation:

Assume;

Number of child = a

Number of adult = b

So,

7a + 10b = 6400 .....EQ1

a + b = 700 ..... EQ2

EQ 2 × 7

7a + 7b = 4900 ..... EQ3

EQ1 - EQ3

3b = 1500

b = 500

Number of adult = 500

Number of child = 200

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