(PLEASE ANSWER!!) a college student completed some courses worth 4 credits and some courses worth 3 credits. the student earned

Question

4 years ago

15

a total of 59 credits after completing 18 courses. how many courses worth 3 credits did the student complete?

1 answer:

Ierofanga [76] · Answer 1 · 2021-12-19T18:11:53+03:00

The college student took 13 courses of 3 credit hours.

Step-by-step explanation:

Given,

Total credits = 59

Total courses = 18

Let,

Number of 3 credit hour courses = x

Number of 4 credit hour courses = y

According to given statement;

x+y=18 Eqn 1

3x+4y=59 Eqn 2

We will eliminate y to find the number of 3 credit hour courses, therefore,

Multiplying Eqn 1 by 4

$4(x+y=18)\\4x+4y=72\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(4x+4y)-(3x+4y)=72-59\\4x+4y-3x-4y=13\\x=13$

The college student took 13 courses of 3 credit hours.

Keywords: linear equation, subtraction

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