Question

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

Answer 1

Answer:

103 adults and 183 kids have attended.

Step-by-step 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, $Total\ cost= cost\ of\ each\ tickets\times number\ of\ tickets$

⇒ $\ 1968= \ 12\times x+ \ 4\times (286-x)$

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= $\frac{824}{8} = 103$

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.