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You buy 4 health bars and 3 health drinks for $10. Your friend buys 6 health bars and 2 health drinks for $10. Each health bar costs how much and each health drink costs how much

Sagot :

Using a system of equations, it is found that:

  • The cost of a health bar is of $1.
  • The cost o a health drink is of $2.

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:

  • Variable x: Cost of a health bar.
  • Variable y: Cost of a health drink.

You buy 4 health bars and 3 health drinks for $10, hence:

4x + 3y = 10.

Your friend buys 6 health bars and 2 health drinks for $10, hence:

6x + 2y = 10

2y = 10 - 6x

y = 5 - 3x.

Replacing on the first equation:

4x + 3y = 10

4x + 3(5 - 3x) = 10

-5x = -5

5x = 5

x = 1

Then:

y = 5 - 3x = 5 - 3 = 2.

  • The cost of a health bar is of $1.
  • The cost o a health drink is of $2.

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

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