Question

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 301 people entered the park, and the admission fees collected totaled 814 dollars. How many children and how many adults were admitted? Your answer is number of children equals number of adults equals

Answer 1

If you add it up it would be 340 people

Answer 2

• 156 children
• 145 adults

Explanation:

Let number of adults be a and children be c

Then we have equations

• a + c = 301
• 4a + 1.5c = 814

From the first equation we get a = 301 - c, we substitute a in the second equation:

• 4(301 -c) + 1.5c = 814
• 1204 - 4c + 1.5c = 814
• 2.5c = 1204 - 814
• 2.5c = 390
• c = 390/2.5
• c = 156

Then finding the value of a:

• a = 301 - 156 = 145