Respuesta :
Answer:
The number of tickets bought for adults is 4.
Step-by-step explanation:
let us assume the number of tickets bought for children = x
And, the number of tickets bought for adults = y
Total number of tickets purchased = 8
⇒Total Number of tickets = Number of ticket bought for {Adults + Children}
or, x + y = 8 .... (1)
Now, cost of 1 children ticket = $1.50
⇒The cost of x children tickets = x ( Cost of 1 ticket) = x ($1.50) = 1.50 x
And, cost of 1 adult ticket = $3
⇒The cost of y adult tickets = y ( Cost of 1 ticket) = y ($3) = 3y
So,total amount spent on the tickets =1.5 x + 3y
According to the question:
x + y = 8 .... (1)
1.5 x + 3y = 19.50 ..... (2)
To solve the given system, substitute the value of y = 8 - x from (1) in (2)
We get 1.5 x + 3y = 19.50 ⇒ 1.5 x + 3(8-x ) = 19.50
or, 1.5 x + 24 - 3x = 19.50
or, -1.5 x = 19.50 - 25.5
or, -1.5 x = 6 ⇒ x = 6/1.5 = 4
⇒ x = 4 ⇒ y = 8 - x = 8 - 4 = 4
or, x = 4, y = 4
Hence, the number of tickets bought for adults is y = 4.
Answer:
5 adults 3 children
Step-by-step explanation:
WITH LOGIC:
The price for children is half of the price of adults
We could start thinking of 4 adults and 4 children
But total for 4 adults = $12 and total for 4 children( $6)
So the the total for 8 people is $18 (we still need to reach until $19.5)
We know that the number of children should be odd number (the total cost has decimals) so we know that 4 children is not an answer.
It should be 8 people in total
So since 4 adults ,4 children is not working
It is either 5 children and 3 adults or 5 adults and 3 children
So the answer is 5 adults and 3 children
5*3=15
3*1.5= 4.5
15+4.5=19.5
WITH EQUATION
a= adult c= child
a+c = 8 c=(8-a)
3a + 1.5(8-a) = 19.5
3a +12 - 1.5a = 19.5
1.5a=7.5
a=5
c=(8-5) c=3
