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Each course at Pease County Community College is worth either 3 or 4 credits. The members of the men's swim team are taking a total of 48 courses that are worth a total of 155 credits. How many 3-credit courses and how many 4-credit courses are being taken?

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Marlene S. | Retired Actuary Tutors MathRetired Actuary Tutors Math
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Hi Mary.
 
Let's let 
x= number of three credit courses
y = number of four credit courses
 
x+y= 48
3x + 4y = 155
 
Youcan use either substitution or elimination to solve
Using elimination, multiply the first equation by -3.
This gives us
-3x-3y=-144
3x+4y= 155
 
Add these two equations together
 
y = 11
and therefore, x=37