Question

1000 tickets were bought at a concert. the amount needed to buy a children’s ticket was $4.50 and the amount needed for an adult ticket was $8.50. $7300 was spent In total. How many tickets of each were bought?

Answer 1

Answer:

The number of children's tickets bought was 300 and the number of adult tickets bought was 700

Step-by-step explanation:

Let

x ----> the number of children's tickets bought

y ----> the number of adult tickets bought

we know that

$x+y=1,000$

$x=1,000-y$ -----> equation A

$4.50x+8.50y=7,300$ -----> equation B

Solve the system by substitution

substitute equation A in equation B

$4.50(1,000-y)+8.50y=7,300$

solve for x

$4,500-4.50y+8.50y=7,300$

$4y=7,300-4,500$

$4y=2,800$

$y=700$

Find the value of x

$x=1,000-700=300$

therefore

The number of children's tickets bought was 300 and the number of adult tickets bought was 700