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

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

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