nee help with a math question

Question

The admission fee at an amusement park is $1.25 for children and $7.00 for adults. On a certain day, 266 people entered the park, and the admission fees collected totaled 1195 dollars. How many children and how many adults were admitted?

number of children equals____

number of adults equals____

Answer 1

Let's use the variable, x, represent the NUMBER of student admissions sold and the variable, y, represent the NUMBER of adult admissions sold.

We can write the following equations to represent the day's amounts:

x + y = 266

1.25x + 7y = $1195

Now we can solve these two equations with two unknowns to find the number of each type of admission sold.

Multiply the first equation by -1.25 to find the number of adult admissions (y) first:

x + 7 = 266 becomes -1.25x - 1.25y = -332.50

Now combine this "new" equation with the second one:

-1.25x - 1.25y = -332.50

1.25x + 7y = 1195.00

5.75y = 862.50

y = 150

The number of adult admissions sold was 150 .

Now substitute 150 for y in either of the original equations to find the number of child admissions sold.

(Let's use the first equation.)

x + y = 266

x + 150 = 266

x + 150 - 150 = 266 - 150

x = 116

The number of child admissions sold was 116 .