3$ pre child 5$ adult totaling 374 tickets sold at the cost of 1524 dollars. how many child and adult tickets were sold

Mathematics

1 answer:

Elza [17]3 years ago

6 0

Answer:

173 children tickets were sold and 201 adult tickets were sold

Step-by-step explanation:

Let the number of child ticket sold be x

Let the number of adult ticket sold be y

If the total number of ticket sold is 374, hence;

x +y = 374 .... 1

Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;

3x + 5y = 1524..... 2

Solve both equations simultaneously

From 1; x = 374 - y ...3

Substitute equation 3 into 2

3(374-y)+5y = 1524

1122-3y+5y = 1524

1122+2y = 1524

2y = 1524 - 1122

2y = 402

y = 402/2

y = 201

Since x = 374-7

x = 374 - 201

x = 173

Hence 173 children tickets were sold and 201 adult tickets were sold

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