2. Gabe is signing up for his semester courses. He plans to take 4 courses.
Some courses are worth 3 credits and some courses are worth 4.
Altogether, he'll be earning 15 credits.
How many 3 credit hour courses will Gabe be taking?

Respuesta :

Gabe took one 3 credit course and three four credit course.

Equation

Equation is used to show the relationship between two or more numbers and variables.

Let x represent the number of 3 credit courses and y represent the number of 4 credit courses.

He plans to take 4 courses earning 15 credits, hence:

  • x + y = 4   (1)
  • 3x + 4y = 15 (2)

Solving equation 1 and 2 simultaneously gives:

x = 1, y = 3

Gabe took one 3 credit course and three four credit course.

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