Question

At the movies, we had 286 people buy tickets. The adult tickets

Answer 1

103 adults and 183 kids have attended.

Explanation:

Here is the complete question: At the movies, we had 286 people buy tickets. The adult tickets were $12 and the children´s tickets were $4. The total sold was $1968. How many adults and kids attended?

Given: Total ticket sold is 286

Cost of each adult ticket is $12

Cost of each kids tickets is $4

Cost of total ticket sold is $1968.

Lets assume the number of tickets adult bought be "x".

∴ Ticket bought for kids is
`(286-x)`

Now, putting the values in an equation to find the number of ticket bought by adult.

We know,
`Total\ cost= cost\ of\ each\ tickets* number\ of\ tickets`

⇒
`\$ 1968= \$12* x+ \$ 4* (286-x)`

Using distributive property of multiplication, distributing 4 with 286 and x.

⇒
`\$ 1968= \$12x+ \$ 1144- \$ 4x`

Subtracting 1144 both side.

⇒
`\$ 824= 8x`

dividing both side by 8

∴ x=
`(824)/(8) = 103`

Hence, 103 Adults attended.

Next, subtituting the value of x to find the tickets bought for kids.

Number of tickets bought for kids=
`286-103= 183\ tickets`

Hence, 183 kids have attended.