Question

The Big House on the Range dude ranch had 237 customers. The children's rate is $53.50 and the
adult's rate is $107.00. If the total collected this last weekend was $18,725.00. How many of each
type of customer attended the dude ranch?
Fill in the information below:
Children in attendence
Adults in attendence
Total
Amount Value
с
a
Round answers to the nearest whole person.
children attended.
adults attended.
Revenue
4

Answer 1

Using a system of equations, it is found that 124 children and 113 adults attended the dude ranch.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

• Variable x: Number of children in attendance.

• Variable y: Number of adults in attendance.

The Big House on the Range dude ranch had 237 customers, hence:

x + y = 237 -> x = 237 - y.

The children's rate is $53.50 and the adult's rate is $107.00. The total collected this last weekend was $18,725.00, hence:

53.5x + 107y = 18725.

Since x = 237 - y:

53.5(237 - y) + 107y = 18725

53.5y = 6045.5

y = 6045.5/53.5

y = 113 adults.

x = 237 - y = 237 - 113 = 124 children.

More can be learned about a system of equations at https://brainly.com/question/24342899

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