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Korvikt [17]
3 years ago
7

Tickets to the Biggest Loser Contest cost

Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

<u>50</u> children's tickets were sold.

Step-by-step explanation:

Given:

Tickets to the Biggest Loser Contest cost  $3.00 for children and $4.50 for

adults. If  225 tickets were sold for a total of $937.50.

Now, to get the children's tickets sold.

Let the number of children tickets be x.

And let the number of adult tickets be y.

So, the total number of tickets sold:

x+y=225\\\\y=225-x\ \ \ ....(1)

Now, the total amount of the tickets sold:

3.00(x)+4.50(y)=937.50

Substituting the value of y from equation (1) we get:

3.00(x)+4.50(225-x)=937.50

3x+1012.50-4.50x=937.50

1012.50-1.50x=937.50

<em>Subtracting both sides by 1012.50 we get:</em>

<em />-1.50x=-75<em />

<em>Dividing both sides by -1.50 we get:</em>

x=50.

<u>The number of children tickets = 50.</u>

Therefore, 50 children's tickets were sold.

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