Respuesta :
Answer:
120 children and 145 adults were admitted
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of children admitted.
y is the number of adults admitted.
265 people entered the park
This means that [tex]x + y = 265[/tex]
The admission fee at an amusement park is $1.50 for children and $4 for adults. The admission fees collected totaled 760.00 dollars.
This means that [tex]1.5x + 4y = 760[/tex]
So
[tex]x + y = 265[/tex]
[tex]1.5x + 4y = 760[/tex]
From the first equation:
[tex]x = 265 - y[/tex]
Replacing in the second equation:
[tex]1.5x + 4y = 760[/tex]
[tex]1.5(265 - y) + 4y = 760[/tex]
[tex]397.5 - 1.5y + 4y = 760[/tex]
[tex]2.5y = 362.5[/tex]
[tex]y = \frac{362.5}{2.5}[/tex]
[tex]y = 145[/tex]
[tex]x = 265 - y = 265 - 145 = 120[/tex]
120 children and 145 adults were admitted
Answer: 120 children and 145 adults were admitted that day.
Step-by-step explanation:
Let x represent the number of children that were admitted that day.
Let y represent the number of adults that were admitted that day.
On a certain day, 265 people entered the park. it means that
x + y = 265
The admission fee at an amusement park is $1.50 for children and $4 for adults. On that day, the admission fees collected totaled 760.00 dollars. This means that
1.5x + 4y = 760- - -- - - - - - - - -- -1
Substituting x = 265 - y into equation 1, it becomes
1.5(265 - y) + 4y = 760
397.5 - 1.5y + 4y = 760
- 1.5y + 4y = 760 - 397.5
2.5y = 362.5
y = 362.5/2.5
y = 145
x = 265 - y = 265 - 145
x = 120
