Answered

The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 2,100 people entered the park, and the admission fees that were collected totaled $4,900. How many children and how many adults were admitted?



Answer :

From the calculation carried out below, the number of children admitted was 1,400 and the number of adults admitted was 700.

How do we calculate the different numbers of people admitted?

This question can be solved using the substitution method as follows:

x = Number of children admitted

y = Number of adults admitted

x + y = 2,100 ............................................. (1)

1.50x + 4y = 4,900 ................................ (2)

From equation (1), we have:

x = 2,100 - y ................................................. (3)

Substituting x = 2,100 - y into equation (2) and solving for y, we have:

1.50(2,100 - y) + 4y = 4,900

3,150 - 1.50y + 4y = 4,900

2.50y = 4,900 - 3,150

2.50y = 1,750

y = 1,750 / 2.50

y = 700

Substituting y = 700 into equation (3), we have:

x = 2,100 - 700

x = 1,400

Learn more about the substitution method: https://brainly.com/question/14619835.

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