A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business wants to send as many employees as it can to a technology training. The technology training costs $1,000 per person. The customer service training costs $500 per person. Create a system of equations that models how many of each type of training the business should purchase.

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Answer:

its B

Step-by-step explanation:

let x = numbers of employees taking technology training

The system of equations that model each type of training the business should purchase are,

1000x + 500y = 25,000,

x + y = 45.

Given that,

A business has $25,000 to spend on training sessions for its employees.

It wants 45 of its employees to attend.

The technology training costs $1,000 per person.

The customer service training costs $500 per person.

We have to determine,

The system of equations that models how many of each type of training the business should purchase.

According to the question,

Let, The technology training cost be x,

And the customer service cost be y,

Total amount spends on training sessions = the technology training costs $1,000 per person + the customer service training costs $500 per person.

$25000=  $1000 x + $500y

And, It wants 45 of its employees to attend.

Then,

The technology training cost + the customer service cost be = the number of employees.

x + y = 45.

Hence, The system of equations that model each type of training the business should purchase is, 1000x + 500y = 25,000, x + y = 45.

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