Question

A cross-country team had a total of 10 practices last week, with each practice being in the morning or the afternoon. During each morning practice, they ran 5 miles, and during each afternoon practice, they ran 6 miles. If they ran a total of 57 miles last week, how many morning practices did they have? 3 5 6 7

Answer 1

Using a system of equations, it is found that they had a total of 3 morning practices last week.

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.

The variables for this problem are given as follows:

• Variable x: number of morning practices.

• Variable y: number of afternoon practices.

They had a total of 10 practices, hence:

x + y = 10 -> y = 10 - x.

During each morning practice, they ran 5 miles, and during each afternoon practice, they ran 6 miles. They ran a total of 57 miles, hence:

5x + 6y = 57.

5x + 6(10 - x) = 57.

5x + 60 - 6x = 57.

x = 3.

They had a total of 3 morning practices last week.

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

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