Respuesta :
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 [tex](286-x)[/tex]
Now, putting the values in an equation to find the number of ticket bought by adult.
We know, [tex]Total\ cost= cost\ of\ each\ tickets\times number\ of\ tickets[/tex]
⇒ [tex]\$ 1968= \$12\times x+ \$ 4\times (286-x)[/tex]
Using distributive property of multiplication, distributing 4 with 286 and x.
⇒ [tex]\$ 1968= \$12x+ \$ 1144- \$ 4x[/tex]
Subtracting 1144 both side.
⇒ [tex]\$ 824= 8x[/tex]
dividing both side by 8
∴ x= [tex]\frac{824}{8} = 103[/tex]
Hence, 103 Adults attended.
Next, subtituting the value of x to find the tickets bought for kids.
Number of tickets bought for kids= [tex]286-103= 183\ tickets[/tex]
Hence, 183 kids have attended.
