The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 304 people entered the park, and the admission fees collected totaled $856. Let x be the number of children that were admitted and let y be the number of adults that were admitted.?

Question

Mathematics

Karson Swanson

Yesterday, 23:20

The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 304 people entered the park, and the admission fees collected totaled $856. Let x be the number of children that were admitted and let y be the number of adults that were admitted.?

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Answers (1)

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Darren Black · Answer 1

x = 144 children

y = 160 adults

Step-by-step explanation:

We have parameters already defined. Number of children that entered is x while number of admitted adults is y.

Since the total number of people admitted was 304, this means:

x + y = 304

Total fees for that day was 856

Mathematically:

1.5x + 4y = 856

From the first equation, we can say y = 304 - x

We then substitute this into the second equation:

1.5x + 4 (304 - x) = 856

1.5x + 1216 - 4x = 856

1216-856 = 4x-1.5x

2.5x = 360

x = 360/2.5 = 144

Since y = 304 - 144

y = 160

The number of children admitted was 144 and the number of adult is 160