Each course at a community college is worth 1 or 2 credits. A group of students is taking a total of 16 courses that are worth a total of 28 credits. How many 1-credit courses are being taken? How many 2-credit courses are being taken?

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wegnerkolmp2741o wegnerkolmp2741o · Answer 1 · 2019-01-06T16:09:52-05:00

Answer:

They are taking 12 2 credit courses

The are taking 4 1 credit courses

Step-by-step explanation:

x = 1 credit courses

y = 2 credit courses

The number of courses is 16

x+y = 16

The number of credits is 28 so multiply the course by the number of credits

1x+2y=28

Subtract the first equation from the second equation

x+2y =28

-x-y=-16

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y = 12

They are taking 12 2 credit courses

We still need to find the 1 credit courses

x+y = 16

x+12= 16

Subtract 12 from each side

x-12-12 = 16-12

x =4

The are taking 4 1 credit courses