The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. on a certain day 359 entered the park. and the admission fees collected totaled to 1026 dollars. how many children and how many adults were admitted

A linear Equation is a mathematical expression that is used to find unknown numbers. In this, we use different variables to represent the unknown number.

To find the unknown number obtain a linear equation according to the given condition and solve the equations.

Here we have,

The admission fee for children is 1.5 dollars

The admission fee for adults is 4 dollars

On a certain day, 359 entered the park

Since we don't know the number of children and adults we will use different variables to represent them as shown below

Let x be the number of children

Let y be the number of adults

From the given data

=> x + y = 359 -----(1)

Admission fee collected for x children = 1.5 × x = 1.5x

Admission fee collected for y adults = 4 × y = 4y

And total fee collected = 1.5x + 4y = 1026 ----(2)

To find the number of children and adults solve (1) and (2)

(1) × 1.5 => 1.5x + 1.5y = 538.5 ---- (3)

Now do (2) - (3)

=> 1.5x + 4y - (1.5x + 1.5y) = 1026 - 538.5

=> 1.5x + 4y - 1.5x - 1.5y = 487. 5

=> 2.5y = 487. 5

=> y = 487. 5 /2 = 195

Now substitute y = 195 in (1)

=> x + 195 = 359

=> x = 164

Therefore,

The number of children admitted is 164 and the number of adults admitted is 195

Learn more about Linear Equation problems at

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